Question

5. Terrence makes $10 per hour at his job. This week he also earned a $30 bonus. What isthe fewest number of hours he must work this week in order to earn at least $245?

Answer 1

Equations

Terrence earns $10 per hour plus a weekly bonus of $30.

The total earnings can be expressed as a function:

y = 10x + 30

Where y is the total earnings and x is the number of hours Terrence works.

We need to find the number of hours needed for Terrence to make at least $245 this week, that is:

$10x+30\ge245$

Subtracting 30:

$10x\ge245-30$

Operating:

$10x\ge215$

Dividing by 10:

$x\ge21.5$

Assuming the number of hours cannot be decimal, the next integer is the solution.

Terrence must work 22 hours to earn al teast $245