Mathematics: Galvin and henry spend a certain amount of money from their money box each month to buy plants. the table 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 (dollars) (y) 1 80 2 75 3 70 4 65 the equation 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

Galvin and henry spend a certain amount of money

larry5007

17.01.2022

The answer would be:
Function 2 shows a greater rate of change because Henry spends $7 each month and Galvin spends $5 each month.

Hope this helps

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19thomasar

17.01.2022

The correct option is 1.

Step-by-step explanation:

If a line passing through two points then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

Choose any two points of function 1:

Let the points are (1,80) and (2,75). The rate of change of function 1 is

$m_1=\frac{75-80}{2-1}=-5$

It means Galvin spends $5 each month.

Henry's money deifned by the equation

y=-7x+80 .... (1)

The slope intercept form of a line is

y=mx+b ... (2)

From (1) and (2) we get

m_2=-7

It means Henry's spends $7 each month.

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

Therefore the correct option is 1.

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jeanine239

13.11.2022

The solution's something you can really easily pick up, I promise.

The solution is simply the point where the two lines connect.

In this case, it's (2,5). (x,y)

Hope this helped!

(Khan Academy is a great resource.)

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