The function we have is:
![y=34.95x+6.25](https://img.qammunity.org/2023/formulas/mathematics/college/p8753scotovt9rdw74t2fbi7nzc8osrqeb.png)
This is a linear function.
We can find the slope (the rate of change) of this function, by comparing it to the general slope-intercept equation:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
Where m is the slope (rate of change) and b is the y-intercept of the line.
By comparison, we see that m an b are:
![\begin{gathered} m=34.95 \\ b=6.25 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/k6nijrpu30khb28a9rlvw5g4s3uqfe71cy.png)
Since we are asked for the value of the rate of change, the answer is the value of m:
![\text{rate of change=34.95}](https://img.qammunity.org/2023/formulas/mathematics/college/ru6xrmsmyyxy17uq2wvyn1o7lgvh61nm80.png)
which is option A.
Answer:
A. 34.95