1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
denis23 [38]
3 years ago
8

Aunt Maggie’s car broke down on Interstate 10. Sam’s Towing charges a $57 hook up fee and $2.00 per mile towed. Regina’s Towing

charges a $45 hook up fee and $2.50 per mile towed.
Select all statements that apply to this situation.

Question 5 options:

Both situations can be modeled using linear functions.


The y-intercept of the function that models Sam's Towing charges is 2.


The rate of change of the function that models Regina's towing charge is 2.5.


The y-intercept of the functions that model both situations represents the hook up fee.


The rate of change of the functions that model both situations represent the miles traveled per hour.
Mathematics
1 answer:
Troyanec [42]3 years ago
5 0

Answer:

Both situations can be modeled using linear functions

The rate of change of the function that models Regina's towing charge is 2.5

The y-intercept of the functions that model both situations represents the hook up fee

Step-by-step explanation:

Let

x -----> the number of miles towed

y ----> the total charge in dollars

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

we have

<u><em>Sam’s Towing</em></u>

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.00 per mile towed

so

m=\$2\ per\ mile\ towed

The y-intercept is equal to the charge per fee

so

b=\$57

therefore

the linear equation is

y=2x+57

<u><em>Regina’s Towing</em></u>

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.50 per mile towed

so

m=\$2.50\ per\ mile\ towed

The y-intercept is equal to the charge per fee

so

b=\$45

therefore

the linear equation is

y=2.50x+45

<u><em>Verify each statement</em></u>

case 1) Both situations can be modeled using linear functions

The statement is true

See the explanation

case 2) The y-intercept of the function that models Sam's Towing charges is 2

The statement is False

The y-intercept of the function that models Sam's Towing charges is $57

case 3) The rate of change of the function that models Regina's towing charge is 2.5

The statement is true

See the explanation

case 4) The y-intercept of the functions that model both situations represents the hook up fee

The statement is true

See the explanation

case 5) The rate of change of the functions that model both situations represent the miles traveled per hour

The statement is False

The rate of change of the functions that model both situations represent dollars by mile towed

You might be interested in
Triangle ABC is similar to triangle LMN by the similarity postulate
likoan [24]

Answer:

Same as Angle B. 90 degrees.

Step-by-step explanation:

If triangles are similar then they have the exact same angle measures. Angle m will have the same value as angle B. If angle B's measure is not found, then find it by adding angle A and angle C together and subtract from 180.

The picture is cut off but if A =60 and C=30 then 60+30=90 and 180-90=90. Angle B and M are both 90 degrees.

7 0
3 years ago
Gabriel is performing an experiment in which he is measuring the energy and work being done by a ball rolling down a hill. Descr
kirza4 [7]

Answer:

They will both be recorded in joules.

Step-by-step explanation:

They will both be recorded in joules.

As energy and work both are measured in joules. If we define work it is the force applied on an object as it moves a certain distance and Energy is the ability to do work. Both are closely related because work done on an object can cause a change in energy. Now if a ball is rolling down a hill then  there is no frictional loss then its energy will be conserved but the work done by the ball will continuously change.Therefore they will both be measured in joules.

4 0
3 years ago
william won 50 tickets at the arcade. he redeemed 30 tickets for a prize and gave 5 tickets to ketelyn. which expression can wil
mariarad [96]
Hello!

If William originally won 50 tickets, redeemed 30, and gave 5 to his friend, the expression that represents how many tickets he has left is:

50-30-5

If you are looking for how many tickets William has left, you simply need to solve the expression:
50-30-5 = 15

I hope this helps you! Have a great day!
5 0
3 years ago
Gianna used 11.9 yards of fabric to make 7 same-sized aprons for the cooking club. How much fabric did Gianna use per apron?
docker41 [41]

Answer:

Step-by-step explanation:

11.9 divided by 7 = 1.7

She uses 1.7 yards per apron

5 0
2 years ago
find the equation of the sides of an isosceles right angled triangle whose vertex is (-2,-3) and the base is on the line x=0​
Serggg [28]

Answer:

AC:y=x-1  CB:y=-x-5 AB:x=0

Step-by-step explanation:

Consider the triangle. The base AB is on the line x=0, the vertex C is (-2,-3)

The side AC is equal to BC. The angle ACB is 90 degrees. If the base is on the line x=o, it is on the axis Y.Explore the distance from the point C to the AB

c(-2,-3), the distance to the axis Y is equal to the modul of the coordinate x (-2), it is 2. The coordinates of point projected by the point C to the axis Y is N(0,-3). The modul of the height is 2, the height of the isosceles triangle to the base is the bisectrix, so the angle BCA is 90/2=45degrees, CBA is 180-90-45=45 degrees too

the heigt CN is equal to side NB, NB=2

Suppose B is (0,y) (x=0 because the base is on this line)

THe modul of the vector NB is equal to sqrt ((0-0)^2+(y+3)^2)= 2

modul (y+3)= 2

y=-1 or y=-5

(0,-1), (0,-5) - two points, one of them (suppose B) is (0,-5) when A is (0,-1) (A is remote from the point N on the same distance with B, because AB is the median too)

Find CB and AC

Use the equation for AC

(x-0)/(-2-0)= (y+1)/(-3+1)

x/-2= (y+1)/-2

x=y+1

y=x-1

For CB

(x-0)/ (-2-0)= (y+5)/ (-3-(-5))

x/-2= (y+5)/2

-x=y+5

y=-x-5

7 0
2 years ago
Other questions:
  • A walkway is being installed around a rectangular playground. The playground is 30 feet by 12 feet, and the total area of the pl
    7·2 answers
  • Which statement is true regarding the graphed functions?
    10·2 answers
  • Alex lives 3 miles from school. Ricardo lives 18 miles from school. Ricardo lives how many times further from school than Alex?
    7·1 answer
  • To determine how much you should budget for food each month, take the average of the expense over the last several months. If ov
    14·1 answer
  • Maths question help plz
    10·1 answer
  • I need help please and thanksss
    13·1 answer
  • Which statement about the graph of y = }}) * is true?
    14·1 answer
  • Simon is going on a diet. He must consume less than 1,200 calories per day to meet his weightloss goal. If each granola bar cont
    10·2 answers
  • The area of a rectangle is represented by 3x^2 + 14x + 8. Factor the area to determine the dimensions of the rectangle.
    5·1 answer
  • In a code the vowels A-U in alphabetical order are replaced by the numbers 1-5, while the consonants B-Z in alphabetical order a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!