Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275. Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

(10 points)

y = 50x+25

f(x) = 50x+25

Step-by-step explanation:

Using the slope intercept form of the equation, y = mx+b

where x is the amount per day and b is the flat fee

2 days

125 = 2x+b

5 days

275 = 5x+b  

Subtract

275 = 4x+b  

125 = 2x+b

150 = 3x

Divide by 3

150/3 = 3x/3

50 =x

The cost per day is 50 dollars

y = 50x +b

Using the data for 2 days

125 = 50*2 +b

125 = 100 +b

125-100 = b

b = 25

The equation is y = 50x+25

f(x) = 50x+25

To graph, The x axis is number of days and the y axis is total cost

The number of days starts with 0, which is the y intercept

Let x = 0, y =25

Using the slope, we go 50 up and 1 to the right ( 50 dollars per day)

The next point plotted ins ( 1,50)

Draw a straight line

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)