Given:
The equation is
![y=1.55x+110,419](https://img.qammunity.org/2021/formulas/mathematics/high-school/4to3w8szw03dokj4n7fnz99m0ec5tvb94s.png)
Here, y approximates the total amount, in dollars, spent by a household to raise a child in the United States from birth to 17 years, given the household’s annual income, x.
To find:
The approximate average yearly cost of raising a child in a household with an annual income of $33,000.
Solution:
We have,
![y=1.55x+110,419](https://img.qammunity.org/2021/formulas/mathematics/high-school/4to3w8szw03dokj4n7fnz99m0ec5tvb94s.png)
Put x=33000 to get the total amount, in dollars, spent by a household if annual income of $33,000.
![y=1.55(33000)+110,419](https://img.qammunity.org/2021/formulas/mathematics/high-school/bahn81ybfkwa94jy9icwg5i0p6orxpanwo.png)
![y=51150+110,419](https://img.qammunity.org/2021/formulas/mathematics/high-school/783wht4o6qwkaz5eo1v7h2okfgb32brciw.png)
![y=161,569](https://img.qammunity.org/2021/formulas/mathematics/high-school/ap0b2ndv3lhakuusa4cg6q2uh3j78opzbc.png)
So, total amount spent by a household to raise a child in the United States from birth to 17 years is $161,569.
Divide this total amount by 17 to get the average yearly cost of raising a child in a household with an annual income of $33,000.
![(161,569)/(17)=9504.05882353](https://img.qammunity.org/2021/formulas/mathematics/high-school/bybc4bcre25kim9ie75haits4uk4flbkuj.png)
![(161,569)/(17)\approx 9504.06](https://img.qammunity.org/2021/formulas/mathematics/high-school/e7s6hzwqe0tx2u9o40sj2hq567qu9y6mb5.png)
Therefore, the average yearly cost of raising a child in a household with an annual income of $33,000 is $9504.06.