Answer:
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
[tex]\displaystyle \bar t=\frac{215\ s}{400-350}=4.3\ s/^oC[/tex]
The oven needs 4.3 seconds to increase the temperature each °C. Thus
a=4, b=3
