Question

Sophia has $275 and earns $15 an hour at Target. She wants to have at least $600 by the end of the month. Write an equation to represent how many hours, x, Sophia needs to work to reach her goal:

a) 15x + 275 = 600
b) 15x = 600 - 275
c) 15x = 600 + 275
d) x = (600 - 275) / 15

Answer 1

The correct equation for the number of hours Sophia needs to work to have at least $600 is 15x + 275 = 600. This includes her initial $275 and the income from working at $15 per hour at Target.

Step-by-step explanation:

The equation to represent how many hours, x, Sophia needs to work to reach her goal of at least $600 is 15x + 275 = 600. This equation takes into account the initial $275 that Sophia has plus the $15 she earns for each hour worked at Target ($15 per hour). Therefore, the hours worked (x) multiplied by her hourly wage ($15) plus her starting amount ($275) should equal at least $600. If we solve for x, subtracting $275 from both sides of the equation gives us 15x = 600 - 275, which simplifies to 15x = 325. Dividing both sides by 15 will give us the number of hours Sophia needs to work, which is x = (600 - 275) / 15.