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
Bas_tet [7]
3 years ago
8

X y

Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0

Answer:

Part 1) The rate of change is \frac{17}{15}

Part 2) The initial value is 68

Part 3) The function rule to the linear model is y=\frac{17}{15}x+68

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{85-68}{15-0}

m=\frac{17}{15}

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is \frac{17}{15}

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

b=68

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

y=mx+b

we have

m=\frac{17}{15}

b=68

substitute

y=\frac{17}{15}x+68

You might be interested in
The original price of a camera is $150. If a discount of 30% is given, what is the discounted price of the camera?
MArishka [77]
So, 30% is 0.30, but since you are taking off 30%, you are going to have 70% of the price which is 0.70. The word "of" lets you know that you are going to multiply. So, what you do is 150•0.70=105. The discounted price is $105
3 0
3 years ago
Read 2 more answers
Create a system of equations that can be used to determine the rental cost of each truck for the 1-day move. Be sure to specify
bogdanovich [222]

The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total cost of rental for each truck in x hours.

From the table, for company A:

  • y = 0.59x + 29.95

For company B:

  • y = 0.79x + 19.95

The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.

Find out more on linear equation at: brainly.com/question/14323743

7 0
2 years ago
Venn diagram ( attached image )
alexandr402 [8]

Assessing the given Venn diagram and the data related to it, we can answer the required question:

Q1. How many people were surveyed = 86.

Q2. What is the probability that a customer chosen at random:

a) takes salt P(S) = 46/85.

b) takes both salt and vinegar P(S ∩ V) = 13/85.

c) takes salt or vinegar or both P(S ∪ V) = 66/85.

The number of people who take salt chips n(S) = 46.

The number of people who take vinegar chips n(V) = 33.

The number of people who takes both n(S ∩ V) = 13.

The number of people who take neither n((S ∪ V)') = 19.

Therefore, the total number of people surveyed n(U) = n(S) + n(V) - n(S ∩ V) + n((S ∪ V)') = 46 + 33 - 13 + 19 = 85.

The number of people who takes salt or vinegar or both n(S ∪ V) = n(U) - n((S ∪ V)') = 85 - 19 = 66.

The probability that a customer chosen at random takes salt P(S) = n(S)/n(U) = 46/85.

The probability that a customer chosen at random takes both salt and vinegar P(S ∩ V) = n(S ∩ V)/n(U) = 13/85.

The probability that a customer chosen at random takes salt or vinegar or both P(S ∪ V) = n(S ∪ V)/n(U) = 66/85.

Learn more about Venn Diagrams at

brainly.com/question/24713052

#SPJ10

7 0
2 years ago
What’s this answer ? Please help!!!
UNO [17]

Surface area = Area of rectangle + Areas of triangles.

Area of rectangle = 9cm * 15cm = 135cm2.

Areas of triangles = 6cm * 3cm = 18cm2.

Surface area = 135 + 18 = 153cm2

5 0
3 years ago
How to evaluate p/4 + pq when p=8 and q=6
Finger [1]

Answer:

50

Step-by-step explanation:

(8)/4+(8)(6)

2+48

50

6 0
3 years ago
Read 2 more answers
Other questions:
  • Give your own example of irrational number explain why the number you chose is irrational
    14·2 answers
  • What is the value of the following expression? 7 + 18 divided by 3
    9·1 answer
  • 6.45 t0 the nearest whole number
    14·2 answers
  • 1/6 of a dash if 2 more dash was add what would the answer be
    7·1 answer
  • Point L is on line segment KM
    13·1 answer
  • segment ab is a diameter of the larger circle. segment ab intersects a chord of the smaller circle pq at a right angle at point
    15·1 answer
  • Which settlers were taught by members of the powhatan confederacy to plant tobacco?
    10·1 answer
  • Hala, Ahmed and Eman have 90 sweets. They decide to divide them in the ratio of their ages, which are 2 years, 7 years and 9 yea
    7·1 answer
  • Help. I will give brainliest if correct. <br> A. -4/3<br> B. -3/4<br> C. 10/17<br> D. 17/10
    14·1 answer
  • Find the coordinates of the midpoint of the segment whose endpoints are given W (-3,-7) and X (-8,4)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!