A pile of newspapers in Ms. McGrath’s art class was 17 3/4 inches high. Each consecutive week, for the next 5 weeks, the height of the pile of newspapers increased by 8 7/12 inches. What was the height, in inches, of the pile after 3 weeks?

Answers

Answer 1

Answer: If you would like to know what was the height, in inches, of the pile after 3 weeks, you can calculate this using the following steps:

17 3/4 inches + 3 * 8 7/12 inches = 71/4 + 3 * 103/12 = 213/12 + 309/12 = 522/12 = 87/2 = 43 1/2 inches

The correct result would be 43 1/2 inches.

Answer 2

Answer:

Let

x--------> the number of weeks

y--------> the height of a pile of newspapers in inches

we know that

$17(3)/(4)=(17*4+3)/(4) =(71)/(4)$

$8(7)/(12)=(8*12+7)/(12) =(103)/(12)$

$y=(103)/(12)x+(71)/(4)$

To find the height after $3$ weeks

Let

$x=3\ weeks$ and substitute in the equation

$y=(103)/(12)*3+(71)/(4)$

$y=(174)/(4)$

$y=43.5\ in$

$y=43(1)/(2) \ in$

therefore

the answer is

the height, in inches, of the pile after $3$ weeks is $43(1)/(2) \ in$

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