3
algebra

Water boils at 212∘F212^\circ F (100∘C100^\circ C) and freezes at 32∘F32^\circ F (0∘C0^\circ C). Which linear equation converts Celsius (CC) to Fahrenheit (FF)?

A

F=95C+32F = \frac{9}{5}C + 32

B

F=59C+32F = \frac{5}{9}C + 32

C

F=95C−32F = \frac{9}{5}C - 32

D

F=C+32F = C + 32

Correct Answer: A

Choice A is the correct answer. Find the line through two points.

  1. Points: (0,32)(0, 32) and (100,212)(100, 212). (Input C, Output F).
  2. Slope: 212−32100−0=180100=95=1.8\frac{212 - 32}{100 - 0} = \frac{180}{100} = \frac{9}{5} = 1.8.
  3. Intercept: When C=0,F=32C=0, F=32. So b=32b=32.
  4. Equation: F=95C+32F = \frac{9}{5}C + 32.

💡 Strategic Tip: This is a classic conversion formula.

Choice B is incorrect because slope is inverted. Choice C is incorrect because sign error. Choice D is incorrect because slope is 1.

Next
Question 4 →
Back to Set
Linear Functions Set 96