Question

On Saturdays. Eve earns $14 per hour for yard work and an extra amount for dog walking.

Hours
1 2 3 4 5
Pay
26
40
54
68
82
Assume Eve does yard work from 8:30 AM to 2:00 PM. and then walks the dog.
Using the function f(x) = 14x + 12, how much does she earn?

A $66
B. $77
C. $89
D. $109

Answer 1

Using the function f(x) = 14x + 12, and knowing that Eve works 5.5 hours of yard work before walking the dog, we calculate her total earnings to be $89 on Saturdays.

Step-by-step explanation:

The question pertains to solving a real-world problem using a linear function to determine the total pay for someone based on an hourly rate plus a fixed amount for additional work, in this case, dog walking. To determine how much Eve earns on Saturdays, we use the given function f(x) = 14x + 12, where x represents the number of hours worked doing yard work. Since Eve works from 8:30 AM to 2:00 PM, she works for 5.5 hours. Applying this to the function:

1. First, we multiply the hourly rate of $14 by the number of hours worked, which is 5.5 hours, to calculate the earnings from yard work: 14 * 5.5 = $77.
2. Then, we add the extra amount earned from dog walking which is $12, to the earnings from yard work: $77 + $12 = $89.

Thus, using the function f(x) = 14x + 12, we find that Eve earns a total of $89 on Saturdays.