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4x James, an auto mechanic, earns 18 for every oil change and 49 for every tune-up. He needs to earn over 200 a day to pay fo rent, utilities, and insurance at his auto shop. x=the number of oil changes y=the number of tune-ups Which inequality in standard form represents this situation? A 49x+18ygt 200 B 18x+49ygt 200 C 18x+49ylt 200 D 18x+49ygeqslant 200

Pergunta

4x James, an auto mechanic, earns 18 for every oil change and 49 for every tune-up. He needs to earn over 200 a day to pay fo
rent, utilities, and insurance at his auto shop.
x=the number of oil changes
y=the number of tune-ups
Which inequality in standard form represents this situation?
A
49x+18ygt 200
B
18x+49ygt 200
C
18x+49ylt 200
D
18x+49ygeqslant 200

4x James, an auto mechanic, earns 18 for every oil change and 49 for every tune-up. He needs to earn over 200 a day to pay fo rent, utilities, and insurance at his auto shop. x=the number of oil changes y=the number of tune-ups Which inequality in standard form represents this situation? A 49x+18ygt 200 B 18x+49ygt 200 C 18x+49ylt 200 D 18x+49ygeqslant 200

Solução

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DanielleProfissional · Tutor por 6 anos

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To determine which inequality represents James' situation, we need to consider the earnings from oil changes and tune-ups and ensure they are greater than $\$200$.<br /><br />Given:<br />- $x$ = number of oil changes<br />- $y$ = number of tune-ups<br />- Earnings from each oil change = $\$18$<br />- Earnings from each tune-up = $\$49$<br /><br />James needs to earn over $\$200$ a day. Therefore, the total earnings from oil changes and tune-ups should be greater than $\$200$.<br /><br />The inequality representing this situation is:<br />\[ 18x + 49y > 200 \]<br /><br />So, the correct answer is:<br />B. \( 18x + 49y > 200 \)
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