Question

33. The linear relationship between the Fahrenheit scale and Centigrade scale for temperatures is given by
`F=\cfrac{9}{5} \;C+32`

Which of the following statements, if any, are TRUE?
A. 68° F corresponds to 20° C
B. 40° C corresponds to 78° F

a) Only A
b) Only B
c) Both A and B
d) Neither A nor B

Answer 1

(a)

Explanation:

given the relationship between ° F and ° C

F =
`(9)/(5)` C + 32

A

substitute 20° C into the formula and solve for F

F =
`(9)/(5)` × 20 + 32 = (1.8 × 20) + 32 = 36 + 32 = 68

then 68° F corresponds to 20° C

B

substitute 40° C into the formula and solve for F

F =
`(9)/(5)` × 40 + 32 = (1.8 × 40) + 32 = 72 + 32 = 104° F ≠ 78° F