Question

Jason is saving up to buy a digital camera that costs $490. So far, he saved $175. He would like to buy the camera 3 weeks from now. What is the equation used to represent how much he must save every week to have enough money to purchase the camera?

a) 175x + 3 = 490
b) 175 + 3x = 490
c) 490 + 175 = 3x
d) 490 + 175x = 3x

Answer 1

The correct equation for Jason to find out how much he needs to save each week to purchase the camera in 3 weeks is 175 + 3x = 490, where 'x' is the weekly saving amount.

Step-by-step explanation:

The equation to represent how much Jason must save every week to have enough money to purchase the camera is 175 + 3x = 490, where x represents the amount Jason needs to save each week for the next 3 weeks. Jason already has $175 saved, so the equation is set up as the initial amount saved plus three times the weekly saving equal to the total cost of the camera.

To solve for x, the equation would be rearranged to 3x = 490 - 175, which simplifies to 3x = 315. Dividing both sides of the equation by 3 gives us x = 105; therefore, Jason needs to save $105 each week for the next 3 weeks.