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Yusef earned a total of 180 dollars from drawing 12 identically-priced pictures at a festival.
Write an equation to describe the relationship between
p, the number of pictures, and
e, the total earnings.

Yusef earned a total of $180$ dollars from drawing $12$ identically-priced pictures at a festival. $\newline$ Write an equation to describe the relationship between $p$ , the number of pictures, and $e$ , the total earnings.

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Write a linear function: word problems

Full solution

Q. Yusef earned a total of

180

dollars from drawing

12

identically-priced pictures at a festival.

\newline

Write an equation to describe the relationship between

p

, the number of pictures, and

e

, the total earnings.

Calculate Price per Picture: Determine the price per picture. $\newline$ To find the price per picture, we divide the total earnings by the number of pictures. $\newline$ Calculation: Price per picture = $\frac{\text{Total earnings}}{\text{Number of pictures}}$ $\newline$ Price per picture = $\frac{180 \text{ dollars}}{12 \text{ pictures}}$ $\newline$ Price per picture = $15 \text{ dollars per picture}$
Write Total Earnings Equation: Write the equation that represents the total earnings. $\newline$ The total earnings can be found by multiplying the price per picture by the number of pictures. $\newline$ Equation: Total earnings = Price per picture $\times$ Number of pictures $\newline$ $e = 15p$

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