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Marc is an aspiring music artist. He has a record contract that pays him a base rate of
$200 a month and an additional
$12 for each album that he sells. Last month he earned a total of
$644. If
a is the number of albums Marc sold last month, which of the following equations best describes the situation?
Choose 1 answer:
(A)
200+12 a=644
(B)
644+12 a=200
(C)
200-12 a=644
(D)
12+200 a=644

Marc is an aspiring music artist. He has a record contract that pays him a base rate of $\$200$ a month and an additional $\$12$ for each album that he sells. Last month he earned a total of $\$644$ . If $a$ is the number of albums Marc sold last month, which of the following equations best describes the situation? $\newline$ Choose $1$ answer: $\newline$ (A) $200+12a=644$ $\newline$ (B) $644+12a=200$ $\newline$ (C) $200-12a=644$ $\newline$ (D) $12+200a=644$

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Write two-variable inequalities: word problems

Full solution

Q. Marc is an aspiring music artist. He has a record contract that pays him a base rate of

\$200

a month and an additional

\$12

for each album that he sells. Last month he earned a total of

\$644

. If

a

is the number of albums Marc sold last month, which of the following equations best describes the situation?

\newline

Choose

1

answer:

\newline

(A)

200+12a=644

\newline

(B)

644+12a=200

\newline

(C)

200-12a=644

\newline

(D)

12+200a=644

Calculate Marc's Earnings Equation: Marc's base pay is $\$200$ a month, and he earns an additional $\$12$ for each album sold. To represent the total amount Marc earns in a month, we add his base pay to the product of the number of albums sold ( $a$ ) and the additional amount per album ( $\$12$ ). This gives us the equation $200 + 12a$ .
Set Up Equation for Total Earnings: Marc earned a total of $\$644$ last month. To find the equation that represents this situation, we set the expression for his earnings equal to $\$644$ . This results in the equation $200 + 12a = 644$ .
Verify Equation Units: To verify that this equation makes sense, we can check if the units on both sides of the equation match. On the left side, we have dollars, and on the right side, we also have dollars. This confirms that the equation is correctly set up to represent the situation.

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