Question

1. jada earns $7 per hour mowing her neighbors lawns.

a. name the two quantities in this situation that are in a functional relationship. which did you choose to be the independent variable? what is the variable that depends on it?
b. write an equation that represents the function.

Explanation:

Step1: Identify related quantities

The two quantities are the number of hours spent mowing, and the total money earned.

Step2: Label independent/dependent variable

The independent variable is the number of hours (it is controlled freely), and the dependent variable is total earnings (it changes based on hours worked).

Step3: Define variables for the equation

Let $h$ = number of hours mowed, $E$ = total earnings in dollars.

Step4: Write the linear function

Total earnings equal hourly rate times hours.
$E = 7h$

Answer:

a. The two quantities are number of hours spent mowing lawns and total money earned from mowing lawns.
The independent variable is the number of hours spent mowing lawns, and the variable that depends on it is the total money earned from mowing lawns.
b. $E = 7h$ (where $h$ = number of hours mowed, $E$ = total earnings in dollars)