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3 years ago

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Chris types at an average speed of 45 words per minute. He has already typed 1,500 words of his final paper. The paper has to be

more than 3,750 words. Which of the following inequalities could be used to solve for x, the number of minutes it will take Chris to finish his paper? ANSWER CHOICES I COMMENTS

1 answer:

SIZIF [17.4K]3 years ago

6 0

Answer: C

Step-by-step explanation:

It’s the only one that uses all info given and says the number of words must be greater than 3,750

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<h2><u>Given </u><u>:</u><u>-</u></h2>

<u> $\bf4 \: times \: a \: number \: x \: is \: added \: to \: 12 \\ \bf the \: result \: is \: 8$ </u> ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎
$\bf⟹ \: 4x + 12 = 8$

$\large\bf{\underline{We\:have\:to\:find:-}}$

$\bf\:The \: number \: results \: when \: 2 \: times \: x \\ \bf is \: added \: to \: 7$
$\bf ⟹\: 2x + 7 = ?$

$\large\bf{\underline{To \:find\:the\:value\:of\:x}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹4x + 12 = 8$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $⟹4x = 8 - 12$

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$\large\bf{\underline{Putting\:the\:value\:of\:x\:in\:2x+7}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $=2x + 7$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $=2( - 1) + 7$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $= - 2 + 7$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $= 5$

__________________________________________

$\large\bf{\underline{Hence}}$

$\huge{2x + 7}$

$\huge{=5}$

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