Question

The average rate of change of the function between x = 15 to x = 25 is ___degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet.

Answer 1

(15,4) (25,-16)
y2-y1/x2-x1
-16-4=-20
25-15=10
20/10=2
i think thts right

Answer 2

`2\degree \:C`

Explanation:

The average rate of change of the function between
`x=15` and
`x=25` is given by the formula;

`Average\:rate\:of\:change=(f(25)-f(15))/(25-15)`

From the table,
`f(15)=4`.

`f(25)=-16`.

We substitute the values to obtain;

`Average\:rate\:of\:change=(4--16)/(25-15)`

This will give us,

`Average\:rate\:of\:change=(4+16)/(25-15)`

We now simplify to obtain,

`Average\:rate\:of\:change=(20)/(10)=2`

Therefore the average rate of change of the function from
`x=15` to
`x=25` is
`2` degrees celsius.