SAT Linear functions Practice Question 13 (Medium)

Math · AlgebraMedium

The formula $F = \frac{9}{5}C + 32$ converts a temperature of $C$ degrees Celsius to $F$ degrees Fahrenheit. If a temperature increases by $15$ degrees Celsius, by how many degrees Fahrenheit does it increase?

$8\frac{1}{3}$

$27$

$47$

$59$

Show answer and explanation

Answer: B

The slope $\frac{9}{5}$ means each 1-degree Celsius increase raises $F$ by $\frac{9}{5}$ degrees. An increase of 15 degrees Celsius raises $F$ by $\frac{9}{5}(15) = 27$ degrees.

Choice D is the Fahrenheit temperature equal to $15^\circ$ C, not the change caused by a 15-degree increase.

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