Question

The equation y = 7x+25 gives the number of minutes it takes to prepare a meal y given the number of people being served x. Which statement is true?

A. For every extra minute it takes to prepare a meal, 7 more people can be fed.
B. For every extra minute it takes to prepare a meal, 25 more people can be fed.
C. For every extra person served, the time it takes to prepare a meal increases by 7
minutes.
D. For every extra person served, the time it takes to prepare a meal increases by 25
minutes.

Answer 1

Answer- C. For every extra person served, the time it takes to prepare a meal increases by 7  minutes.

Solution-

y = 7x+25

Where y = the number of minutes it takes to prepare a meal

           x = the number of people being served.

If the number of persons increased by one, so x' = (x+1)

Then y' = 7x' + 25 = 7(x+1) + 25 = 7x + 7 + 25 = 7x + 25 + 7 = y + 7

∴ As y gets increased by 7 for every 1 more person , so C is the correct answer.