A) What does the point (1,8) represent in the context of the situation? B) Is the amount of money proportional to the number of hours worked? C) Write an equation that represents this situation? D) What will be Amber’s Wages after 6 hours worked?

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03-11-2022
Mathematics

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A) What does the point (1,8) represent in the context of the situation? B) Is the amount of money proportional to the number of hours worked? C) Write an equation that represents this situation? D) What will be Amber’s Wages after 6 hours worked?

Sagot :

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JaisonN716070 JaisonN716070 · Answer 1 · 2022-11-03T10:33:20-04:00

Answer:

A) Amber's wages for 1 hour is $8.

B) Yes

C) y = 8x

D)

Explanation:

A) Looking at the graph, we can deduce that the point (1, 8) shows how much Amber makes in one hour. So in 1 hour, Amber makes $8.

B)To determine whether the amount of money is proportional to the number of hours worked, we have to look at the graph and see if it starts from the origin (0, 0), if it does then we can conclude that they are proportional.

Since the graph starts from the origin (0, 0), then the amount of money is proportional to the number of hours worked.

C) The slope-intercept equation of a line is given as;

[tex]y=mx+b[/tex]

where m = slope of the line

b = y-intercept of the line

So let's go ahead and determine the slope of the line at points (1, 8) and (2, 16) using the below formula;

[tex]m=\frac{y_2-y_1_{}_{}_{}}{x_2-x_1_{}}=\frac{16-8}{2-1}=\frac{8}{1}=8[/tex]

Since the line starts from the origin, therefore the y-intercept, b, is zero.

Since m = 8 and b = 0, the equation can then be written as;

[tex]\begin{gathered} y=8x+0 \\ y=8x \end{gathered}[/tex]

D

Sagot :

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