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I NEED HELP FAST GET BRAINLIEST AND 100 POINTS:
Galvin and Henry spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Galvin’s money box and the number of months (x): Number of Months (x) Amount Remaining (in $) (y) 1 80 2 75 3 70 4 65 The equation (function 2) shows the relationship between the amount of money, y, remaining in Henry’s money box and the number of months, x: Function 2 y = −7x + 80 Which statement explains which function shows a greater rate of change? Function 2 shows a greater rate of change, because Henry spends $7 each month and Galvin spends $5 each month. Function 2 shows a greater rate of change, because Henry spends $80 each month and Galvin spends $15 each month. Function 1 shows a greater rate of change, because Galvin spends $15 each month and Henry spends $73 each month. Function 1 shows a greater rate of change, because Galvin spends $5 each month and Henry spends −$7 each month.
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2 Answers

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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:

[tex]\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}[/tex]

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

[tex]\textsf{rate of change}=\dfrac{\textsf{change in y}}{\textsf{change in x}}[/tex]

[tex]\implies \textsf{rate of change}=\dfrac{75-80}{2-1}=\dfrac{-5}{1}=-5[/tex]

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:

[tex]\sf y = -7x+80[/tex]

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.
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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:
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