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) 87b) 90 c) 95d) 115

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:

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

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

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

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb