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
blagie [28]
3 years ago
7

Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service cha

rges. Company B charges $8 per hour and an additional $40 as service charges.
Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. (4 points)

Part B: Which company would charge less for renting a truck for 8 hours? Justify your answer. (3 points)

Part C: How much money is saved by using the services of Company A instead of Company B to rent a truck for 2 hours? (3 points)
Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0
Part A:
Company A:  $7 per hour +$30 service charge =money spent
Company B:  $8 per hour +$40 service charge =money spent

Part B:
Company A:  $7(8)+$30 = $86
Company B:  $8(8)+$40 = $104

Part C:
Company A:  $7(2)+$30 = $44
Company B:  $8(2)+$40 = $56
      You would save $12 if you use Company A instead of Company B's truck rental.

You might be interested in
Can someone please help me with#6-#8?I'm not sure how to find the answers and graph it in the graphs given.​
OLga [1]

Answers:

  • 6. Slope = -5/3; y intercept = 5
  • 7. Slope = -1; y intercept = 2
  • 8. Slope = 3; y intercept = 0

The graphs are below

========================================================

Explanation:

6)

Let's solve for y to get the equation in slope intercept form y = mx+b

5x+3y = 15\\\\3y = -5x+15\\\\y = \frac{-5x+15}{3}\\\\y = \frac{-5x}{3}+\frac{15}{3}\\\\y = -\frac{5}{3}x+5\\\\

That last equation matches with y = mx+b to get

m = -5/3 = slope

b = 5 = y intercept

To graph this, we plot the y intercept at (0,5). Then move down 5 and to the right 3 to arrive at (3,0) as the second point. This movement is directly tied to the slope. We only need two points to graph a straight line.

---------------------------------

7)

The equation y = -x+2, aka y = -1x+2, is already in slope intercept form

m = -1 = slope

b = 2 = y intercept

Start at (0,2) which is the location of the y intercept. Move down 1 and to the right 1 due to the slope -1/1 = -1. This should move us to the point (1,1). Connect the two points (0,2) and (1,1) with a straight line to finish up the graph.

---------------------------------

8)

We start with the origin (0,0) because the y intercept of y = 3x is 0. It might help to think of y = 3x as y = 3x+0

Then we move up 3 units and to the right 1 unit to get to (1,3) as our next point. Connect the two points with a straight line

slope = 3

y intercept = 0

Once again, the graphs are shown below.

7 0
3 years ago
Describe the graph of the system of inequalities:<br><br> x &gt; 2<br> y ≤ 4
Nookie1986 [14]

Answer:

hope it help u

i hope its right answer

8 0
3 years ago
In New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub. What is the probability t
SSSSS [86.1K]

Answer:

Probability that a  house has a hot tub given that it has a pool is 55%.

Step-by-step explanation:

We are given that in New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub.

Let the probability that houses have a pool = P(A) = 0.38

Also, let B = event that houses have a hot tub

Probability that houses have both a pool and a hot tub = P(A \bigcap B) = 0.21

Now, the conditional probability that a  house has a hot tub given that it has a pool is given by =  P(B / A)

<u>As we know that</u>;   P(B / A)  =  \frac{P(A \bigcap B)}{P(A) }

                                              =  \frac{0.21}{0.38}  

                                              =  0.553 ≈ 55%

Hence, the probability that a  house has a hot tub given that it has a pool is 55%.

8 0
3 years ago
PLEASE HELP! FUNCTIONS
satela [25.4K]

Answer: 7

Step-by-step explanation:

5 0
3 years ago
Rewrite in simplest terms: 3h - 2(-0.1h - 0.8)<br>please help
levacccp [35]

Answer:

3.2h+1.6

Step-by-step explanation:

3h-2(-0.1h-0.8)

3h+0.2h+1.6

3.2h+1.6

8 0
3 years ago
Other questions:
  • Find the area of the polygon. All angles in the figure are right triangles.
    9·1 answer
  • Will give Metal! From 1948 to 1994, South Africa existed under a system of apartheid. Under this system, white South Africans- a
    14·1 answer
  • Write y=0.83 x + 39 in standard form
    5·1 answer
  • Write an equation in slope -intercept form for a line that passes through (-2,7) and (14,21)
    6·1 answer
  • Peter has 51 fruit chews to share with Josh and Jenny. The number of fruit chews Peter gives to Josh is 9 less than four times t
    5·1 answer
  • Please answer !!! To solve the system of equations below, Luanne isolated the variable y in the first equation and then substitu
    14·2 answers
  • Plz answer fast and answer right I really need this
    11·1 answer
  • Simplify -18+3(5x-2)+8
    6·2 answers
  • Please I need help with this question
    15·2 answers
  • What are the zeroes of the function f(x)= 5x^2-25x/x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!