Question

A. Your first job is to babysit a couple of times a week. You charge a flat fee of $10 for transportation back and forth to the house plus $5.50 per hour. Let t be the time in hours that you babysit. Write an algebraic expression to define the amount of money you will make for t hours of work.

b. You also work at a local coffee shop in the mornings. You are paid $10 per hour. Write an algebraic expression to define the amount of money you will make for t hours of work.

c. Write an algebraic expression for how much money will you will make for both jobs together.

Answer 1

For the babysitting job, the amount of money you will make for t hours of work is $10 + $5.50t. For the coffee shop job, the amount of money you will make for t hours of work is $10t. The amount of money you will make for both jobs together is (10 + 5.50t) + (10t).

Step-by-step explanation:

In the first job, the amount of money you will make for t hours of work is given by the algebraic expression: 10 + 5.50t.

In the second job, the amount of money you will make for t hours of work is given by the algebraic expression: 10t.

The algebraic expression for the amount of money you will make for both jobs together is obtained by adding the two expressions: (10 + 5.50t) + (10t).