Question

Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.

Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike 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

Answer 1

I combined the three steps together and the following are my thoughts:

We can set the fixed fee for renting as (f) and an dynamic fee related to days as (d) per day, then we have:


`\left \{ {{f+5d=36} \atop {f+8d=48}} \right.`

Then we could get f=16, d=4, so we could have the equation as follows:

y = 16 + 4x