Question

Mathematics, average rate of change.

Answer 1

|| ▼ Answer ▼ ||

The average rate of change per year from 1 to 5 is 8inches

Explanation:

Given

`h=t^(2)+2t+10`

The average rate of change =
`(h(5)-h(1))/(5-1)`

Now h(5)

`\boxed{h(5)=-5^(2)+2(5)+10 }`

`\boxed{h(5)=25+10+10}`

`\boxed{h(5)=45}`

Now, h(1)

`\boxed{h(1)=-1^(2)+2(1)+10}`

`\boxed{h(1)=1+2+10}`

`\boxed{h(1)=13}`

`\boxed{Average~change~rate=(h(5)-h(1))/(5-1) }`

`\boxed{Average~change~rate=(45-13)/(5-1)=(32)/(4)=8 }`

The final answer

The average rate of change per year from 1 to 5 is 8 inches

Hope this helps!

If you have any questions please ask.