Question

Part A: Maria rented a coat at $285 for 3 days. If she rents the same coat for 6 days, she has to pay a total rent of $510. Write an equation in the standard form to represent the total rent (y) that Maria has to pay for renting the coat 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)

Answer 1

Answer: A) y=75x+60

B) $f(x)=75x+60$

C) The point on axes are (0,60) and (-0.8,0)

Step-by-step explanation:

Since we have given that

Rented price of coat for 3 days = $285

Rented price of coat for 6 days = $510

Let x be the number of days.

Let y be the total rent.

So, equation of line would be

$y-y_0=\dfrac{y_1-y_0}{x_1-x_0}(x-x_0)\\\\y-285=\dfrac{510-285}{6-3}(x-3)\\\\y-285=\dfrac{225}{3}(x-3)\\\\y-285=75(x-3)\\\\y-285=75x-225\\\\y=75x-225+285\\\\y=75x+60$

B) equation using function notation is given by

$f(x)=75x+60$

C) Let x= 0

Then, f(x)= 60 and

let y = 0

0=75x+60

$x=\dfrac{-60}{75}=-0.8$

So, the point on axes are (0,60) and (-0.8,0)

Answer 2

Part a y=95x

Part b 285=95•3

Part c ?

Hope I helped sorry I don't know how to do the last one!