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Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $a$ month and an additional $b$ for each album that he sells. Last month he earned a total of $c$ . Write an equation to determine the number of albums $n$ Floyd sold last month.

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Write a linear function: word problems

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

a

month and an additional

b

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

c

. Write an equation to determine the number of albums

n

Floyd sold last month.

Identify variables and constants: Identify the variables and constants: $\newline$ Base rate = $\$b$ per month, $\newline$ Additional rate per album = $\$a$ , $\newline$ Total earnings last month = $\$T$ , $\newline$ Number of albums sold = $n$ .
Set up equation: Set up the equation based on the given information: $\newline$ Total earnings $=$ Base rate $+$ (Additional rate per album $*$ Number of albums sold), $\newline$ $T = b + a \cdot n$ .
Rearrange equation: Rearrange the equation to solve for $n$ : $n = \frac{T - b}{a}$ .

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