The number of buttons an industrial button machine can manufacture each hour, y, varies directly with the number of active hours, x. When the machine is active for 7 hours, 2,450 buttons are manufactured. How many hours would the machine need to be active in order to manufacture 5,250 buttons?

15 hours

Step-by-step explanation:

Given

Direct variation between y and x

Where x represents hours and y represents number of buttons

y = 2450 when x = 7

Required

Solve for x when y = 5250

Since it's a direct variation, we have that

2450 buttons = 7 hours

5250 buttons = x

Cross Multiply both expressions

2450 * x = 7 * 5250

2450x = 36750

Divide through by 2450

x = 36750/2450

x = 15

Hence, it'll take 15 hours to manufacture 5250 buttons

Required

Determine

7

step-by-step explanation: