Starting unheated, an electric stove oven takes 21 minutes and 44 seconds to reach a temperature of 350∘. Starting unheated, the oven takes 25 minutes and 19 seconds to reach a temperature of 400∘. The oven averages a. b seconds per degree in going from 350∘ to 400∘. What is a. b?

The oven needs 4.3 seconds to increase the temperature each °C. Thus

a=4, b=3

Step-by-step explanation:

Linear Function

The relationship between two variables y and t is said to be linear if the increase of any amount in t always means the same increase in y. It's the same as saying that the rate of change of y with respect to t is constant.

The question provides the time t=21 minutes and 44 seconds it takes the electric stove oven to reach from unheated to 350°C.

The problem also says it takes 25 minutes and 19 seconds to reach from unheated to 400°C.

First, we compute both times in seconds:

t1=21*60+44=1304 seconds

t2=25*60+19=1519 seconds

It means the oven takes 1519 s - 1304 s = 215 seconds to reach from 350°C to 400°C.

We can know the average time it takes the oven to increase the temperature by one degree.

The average time can be computed as the ratio

The oven needs 4.3 seconds to increase the temperature each °C. Thus

a=4, b=3

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph