Question

Enter a rule for each function a and p, and then compare their domains, ranges, slopes, and y-intercepts.Apples can be bought at a farmer's market up to 10 pounds at a time, where each pound costs $1.20. Thefunction a(w) represents the cost of buying w pounds of apples. The graph of p(w) shows the cost indollars of buying w pounds of pears.

Answer 1

Function a(w) can be represented as:

a(w)=1.20w

To write the function p(w), we need to calculate the slope first with the points given:

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{15-0}{10-0}=\frac{15}{10}=\frac{3}{2} \end{gathered}$

So, the function p(w) would be represented as:

p(w)=1.5w

Domain are the possible x values.

The domain of the function a(w) is from 0 to 10 because the text says us that you can maket up to 10 pounds at a time.

The domain of the function p(w) is from 0 to 10 by the graph.

Range is the possible y values.

Range of function a(w) is from 0 to 12.

Range of function p(w) is from 0 to 15.

The slope of a(w) is 1.2 and the slope of p(w) is 1.5.

The y-intercept of both functions is the same. y-intercept is (0,0)