Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?

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Answer 1 · 2018-07-20T07:23:37

$8 x \geq 400$ $8x\ge400$

Hugh needs to earn ( $y$ $y$ ) at least 400 dollars. $y \geq 400$ $y\ge400$
Given $x$ $x$ books sold at 8 dollars each,
$8 x$ $8x$

Hugh's earnings $y$ $y$ ...
$8 x = y \geq 400$ $8x=y\ge400$
$8 x \geq 400$ $8x\ge400$

Answer 2 · 2018-07-20T07:28:58

$x \geq 50$ $x >= 50$

Total funds:
$T = x \cdot 8$ $T=x*8$

to meet his goal:

$T \geq 400$ $T>= 400$

so $x \cdot 8 \geq 400$ $x*8 >= 400$

multiply both sides by 8

$x \geq \frac{400}{8}$ $x >= 400/8$

simplify the fraction

$x \geq 50$ $x >= 50$