ACT Math · Function notation and transformations

Using the formula C = 5/9(F - 32), what is 77°F in degrees Celsius?

Using the formula C=59(F−32)C = \dfrac{5}{9}(F - 32), what is 77°F in degrees Celsius?

Answer and explanation

Answer: G: 25°C

Substitute F=77F=77 into the formula: C=59(77−32)=59(45)=25C=\frac{5}{9}(77-32)=\frac{5}{9}(45)=25 degrees Celsius, choice G. Do the subtraction in the parentheses first, then multiply by 59\frac{5}{9}. Choice H (4545) stops after the parentheses and never multiplies by 59\frac{5}{9}. Choice F (2020) results from using F−32=36F-32=36 instead of 4545. Choice J (170.6170.6) is the value of 95(77)+32\frac{9}{5}(77)+32, which converts in the wrong direction. A temperature of 77∘77^\circF is a warm room, so about 25∘25^\circC is reasonable.

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