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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) $200+12 a=644$ $\newline$ (B) $644+12 a=200$ $\newline$ (C) $200-12 a=644$ $\newline$ (D) $12+200 a=644$

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Write a linear inequality: 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+12 a=644

\newline

(B)

644+12 a=200

\newline

(C)

200-12 a=644

\newline

(D)

12+200 a=644

Identify base rate and additional amount: Identify the base rate and the additional amount per album sold. $\newline$ Marc has a base rate of $\$200$ a month and earns an additional $\$12$ for each album sold.
Set up the equation: Set up the equation using the given information. $\newline$ Let $a$ represent the number of albums sold. Marc's earnings can be represented by the base rate plus $\$12$ times the number of albums sold. $\newline$ The equation is: $200 + 12a$
Incorporate total earnings into the equation: Incorporate Marc's total earnings into the equation. $\newline$ Marc earned a total of $\$644$ last month. Therefore, the equation that represents this situation is: $\newline$ $200 + 12a = 644$
Check answer choices: Check the answer choices to find the equation that matches the one we derived. $\newline$ (A) $200 + 12a = 644$ is the correct equation that matches our derived equation.

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