Question

Elena and Jada each make money by helping out their neighbors.

Elena babysits. Her earnings are given by the equation y=8.40x, where x represents how many hours she works and y represents how much money she earns.
Jada earns $7 per hour mowing her neighbors’ lawns.
Who makes more money after working 12 hours? How much more do they make? Explain how you know.

Answer 1

After comparing earnings for 12 hours of work, Elena makes more money, earning $100.80 versus Jada's $84.00, which is $16.80 more.

Step-by-step explanation:

The student is asking how much more money one person makes compared to another after working the same number of hours with different hourly rates.

To find out who makes more money after working 12 hours, we need to calculate the earnings for both Elena and Jada. Elena's earnings are calculated using the linear equation y = 8.40x, where x represents the number of hours worked and y represents the money earned.

For Jada, who earns a flat rate of $7 per hour, we simply multiply her hourly rate by the number of hours worked.

Elena's earnings for 12 hours are:

• y = 8.40 * 12
• y = $100.80

Jada's earnings for 12 hours are:

• y = 7 * 12
• y = $84.00

Elena makes more money. She earns $100.80 while Jada earns $84.00, so Elena makes $16.80 more after working for 12 hours. We know this because we have compared both of their earnings after applying their respective hourly rates to the same number of hours worked.