Question

I NEED HELP FAST GET BRAINLIEST AND 100 POINTS:

Answer 1

Answer:

Function 2 shows a greater rate of change, because Henry spends $7 per month and Galvin spends $5 per month.

Step-by-step explanation:

Function 1

Money remaining in Galvin's money box:

$\begin{tabular}{| c | c |}\cline{1-2} Number of Months (x) & Amount Remaining (in \ ) (y)\\\cline{1-2} 1 & 80\\\cline{1-2} 2 & 75 \\\cline{1-2} 3 & 70 \\\cline{1-2} 4 & 65 \\\cline{1-2}\end{tabular}$

We can calculate the rate of change by using this formula:

$\textsf{rate of change}=\dfrac{\textsf{change in y}}{\textsf{change in x}}$

$\implies \textsf{rate of change}=\dfrac{75-80}{2-1}=\dfrac{-5}{1}=-5$

Therefore, The rate of change of function 1 is -5 which means that Galvin spends $5 per month.

Function 2

Money remaining in Henry's money box:  

$\sf y = -7x+80$

This is represented as a linear equation: y = mx + b
(where m is the slope or "rate of change" and b is the y-intercept of "initial value)

Therefore, the rate of change of function 2 is -7 which means that Henry spends $7 per month.

Conclusion

Function 2 shows a greater rate of change, because Henry spends $7 per month and Galvin spends $5 per month.

Answer 2

Answer:

Function 2 shows a greater rate of change, because Edwin spends $9 each month and Adam spends $7 each month.

I found this out because for Adam, you simply subtract the y-coordinates from each other and get 7 each time. Edwin clearly shows that he Spends $9 each month with the negative sign.

Step-by-step explanation: