How many hours does Sophia need to work to reach her financial goal?

What equation represents how many hours Sophia needs to work to have at least $600 by the end of the month?

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

Answer:

The correct equation for the number of hours Sophia needs to work to have at least $600 is 15x + 275 = 600.

Explanation:

The equation to represent how many hours, x, Sophia needs to work to reach her financial goal of at least $600 is 15x + 275 = 600. This equation takes into account Sophia's initial amount of $275 and the income she earns from working at $15 per hour at Target.

To break it down, the hours Sophia works (x) multiplied by her hourly wage of $15, plus her starting amount of $275, should add up to at least $600. When we solve for x, by subtracting $275 from both sides of the equation, we get 15x = 600 - 275, which simplifies to 15x = 325. Dividing both sides by 15 gives us the number of hours Sophia needs to work, which is x = (600 - 275) / 15.