Question

The coldest temperature in the city today was 14.8 degrees (Fahrenheit) lower than the hottest temperature. Let H represent the high
temperature and let L represent the low temperature.
i) What is a formula that correctly relates H and L?
ii) If the low temperature was 68.9 degrees, what was the high temperature?
i) L = H + 14.8
ii) 54.1 degree

i) H = L + 14.8
ii) 83.7 degrees

i) H = L + 14.8
ii) 54.1 degrees

i) L = H + 14.8
ii) 83.7 degrees

Answer 1

The formula that correctly relates H and L is H = L + 14.8

The high temperature is 83.7 degrees

Solution:

Let H represent the high  temperature

Let L represent the low temperature

Given that,

The coldest temperature in the city today was 14.8 degrees (Fahrenheit) lower than the hottest temperature

L = H - 14.8

Rearrange,

H = L + 14.8

If the low temperature was 68.9 degrees, what was the high temperature?

L = 68.9

Then,

H = 68.9 + 14.8

H = 83.7

Thus the high temperature is 83.7 degrees