2 Demi teaches drum classes. The equation B = 50t gives the dollar amount she earns as a function of the time in hours she teaches. Demi also takes spin classes. The graph shows how much she has left on a gift card as a function of the time in hours Demi is in class. Does Demi earn more teaching 1 hour of drum class or spend more taking 1 hour of spin class? Show your work.​

2 Demi teaches drum classes The equation B 50t gives the dollar amount she earns as a function of the time in hours she teaches Demi also takes spin classes The class=

Respuesta :

Using the slope intercept form (y = mx + b) to find the function of the graph, results in
B = -100/5t + 500 or B = -20t + 500.
After 1 hr or t = 1 Demi earns B = 50(1) or $50 teaching
After 1 hr or t = 1 Demi spends B = -20(1)
-$20 on spin class (and her gift card amount would equal $480, although I think the GC amount is irrelevant to the question of earn more or spend more).
If it’s asking just the rate of increase or decrease the slope of 50t is greater than the slope of -20t.
The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

What is the Slope intercept form?

The equation of a straight line whose slope and y-intercept are given. Suppose a non-vertical line has a gradient or slope of m and y-intercept equal to c. Let (x, y) be any point on the line and a line intersect the y-axis at the point (0, c).

 y = mx + c

Using the slope-intercept form (y = mx + b) to find the function of the graph,

B = -100/5t + 500

Or  B = -20t + 500.

After 1 hr or t = 1 Demi earns B = 50(1) or $50 teaching

After 1 hr or t = 1 Demi spends B = -20(1)

-$20 on spin class.

If it’s asking just the rate of increase or decrease, the slope of 50t is greater than the slope of -20t.

Thus, The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

Learn more about slope;

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