Question

Savannah is working two summer jobs, making $12 per hour babysitting and $7 per hour washing cars. Savannah must earn a minimum of $55 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours washing cars, ww, that Savannah can work in a given week.

Answer 1

The inequality that represents the given situation is 12b + 7w ≥ 55

Explanation:

Let us solve the question

∵ Savannah is working two summer jobs

∵ She is making $12 per hour babysitting

∵ The number of hours babysitting is b

→ Multiply 12 by b to find the amount earning from babysitting

∴ She is making 12b dollars from working as a babysitting

∵ She is making $7 per hour washing cars

∵ The number of hours washing cars is w

→ Multiply 7 by w to find the amount earning from washing cars

∴ She is making 7w dollars from working in washing cars

∵ Savannah must earn a minimum of $55 this week

→ minimum means ≥,

∴ The total earning ≥ 55

∵ The total earning is 12b + 7w

→ Use the two expressions of the total earning to write the inequality

∴ 12b + 7w ≥ 55

∴ The inequality that represents the given situation is 12b + 7w ≥ 55