Andrew rorks at a trabvel agency. He gets paid `$120` for a day's work, plus a bonus of `$25` for each cruise he books. Which of the following equations represents the relationship between the total Andrew earns in a day, d, and the number of cruises he books, c ?
Andrew rorks at a trabvel agency. He gets paid `$120` for a day's work, plus a bonus of `$25` for each cruise he books. Which of the following equations represents the relationship between the total Andrew earns in a day, d, and the number of cruises he books, c ?
A
`c = 26d + 120`
B
`c =120d + 25`
C
`d = 120 + 25c`
D
`d =120c +25`
Text Solution
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The correct Answer is:
C
When writing a linear equation to represent a real-world scenario, a flat reate is a constant while a unit rate is always multiplied by the independent variable. You can identify the unit rate by looking for word like per of for each.
Because the amount Anderew gets paid daily, `$120,` is a flat rate that doesn't depend on the number of cruises he books, 120 should be the constant in the equation. This means you can eliminate (B) and (D). The question tells you to multiply `$25` by the number of crusies he books, c, so the equation is total pay `=25xx` number of cruises `+ 120, or d =25c + 120,` making (C ) correct.
Because the amount Anderew gets paid daily, `$120,` is a flat rate that doesn't depend on the number of cruises he books, 120 should be the constant in the equation. This means you can eliminate (B) and (D). The question tells you to multiply `$25` by the number of crusies he books, c, so the equation is total pay `=25xx` number of cruises `+ 120, or d =25c + 120,` making (C ) correct.
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