Question

The frequency with which a cricket chirps varies directly with the temperature. If the cricket chirps 100 times per minute in 80° weather, it will chirp how many times per minute in 92° weather?

A) 87
B) 90
C) 95
D) 115

Answer 1

The answer is: D) 115

The explanation is shown below:

1. You have that the frequency with which a cricket chirps varies directly with the temperature, which you can express it as following:

`y=kx`

Where
`y` is the frequency with which a cricket chirps,
`x` is the temperature and
`k` is the constant of proportionality.

2. If the cricket chirps 100 times per minute in 80° weather, you can calculate
`k` as below:

`k=(100)/(80)=1.25`

3. Therefore, the frequency in 92° weather is:

`y=1.25x\\y=(1.25)(92)\\y=115`