Jada earns $7 per hour mowing her neighbors’ lawns. andre gets paid $5 per hour for the first hour of babysitting and $8 per hour for any additional hours he babysits. what is the number of hours they both can work so that they get paid the same amount?

Jada

7, 14, 21

Andre

5, 13, 21

They can both work for 3 hours. Then they get paid the same amount.

3 hours

Step-by-step explanation:

Let t be the number of hours of work.

Jada earns $7 per hour mowing her neighbors’ lawns. We can represent her earnings using a linear equation.

J(t) = 7 t

Andre gets paid $5 per hour for the first hour of babysitting and $8 per hour for any additional hours he babysits. We can represent his earnings using a linear equation.

A(t) = 8 (t - 1) + 5

When they get paid the same amount J(t) = A(t). Then,

7 t = 8 (t - 1) + 5

7 t = 8 t - 8 + 5

t = 3

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step-by-step explanation: