Question

Doordash and Uber Eats motivate their drivers to take jobs by offering more money as more time passes. The following information shows how much each company offers depending on
how many minutes have passed after the customer's request.

DoorDash(table):
minutes: 0 ,5,10,15, 20, 25, (greater then or equal to sign) 30
money offered: $2.50 , $2.75 , $3.00, $5.00,$8.00, $12.00,$30.00

a) State the y-intercepts of each function and state what each one represents in this real-world context (Show your work)

b) State the maximum of each function and state what each one represents in this real-world context. (Show your work)

c) At what point do both companies pay the same amount? If you had to choose one company to work for, which one would you choose and why? (Show your work. Use evidence from above)

Answer 1

The functions of DoorDash and UberEats are linear functions and piecewise functions

• The y-intercepts are $2.50 and $5, respectively
• The maximum of the functions are $12.00 and $8.00, respectively.
• The point where the salaries are the same is (25, 12.00)

The y-intercept of the functions?

This is the point where the input value is 0 i.e. x = 0.

From the table, we have:

(x,y)= (0,2.50)

From the graph, we have:

(x,y)= (0,5)

Hence, the y-intercepts are $2.50 and $5, respectively

The maximum of the functions

This is the point where the output value is at the highest

From the table, we have:

(x,y)= (25,12.00)

From the graph, we have:

(x,y)= (20,8.00)

Hence, the maximum of the functions are $12.00 and $8.00, respectively.

This also represents the maximum salaries of working in both companies

When the salary is the same

This is the point where the values of both functions are equal

From the table and the graph, we have:

(x,y)= (25,12.00)

Hence, the point where the salaries are the same is (25, 12.00)

DoorDash has a higher maximum salary; so I would choose to work at DoorDash

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