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exis [7]
2 years ago
5

Sam gets paid a set rate in his allowance for making his bed every morning. His rate is $0.50 earned for every morning that he m

akes his bed.
Let n represent the number of days Sam makes his bed.
Let t represent the total amount earned, in dollars.
Which graph shows the amount of money that Sam earned when he made his bed over the course of 8 days?

Mathematics
1 answer:
AlekseyPX2 years ago
4 0

Answer:

bottom graph of left picture

Step-by-step explanation:

For each day he makes his bed, he earns $0.50

In 1 day he earns $0.50

In 2 days he earns $1.00

In 3 days, he earns $1.50

...

In 8 days, he earns $4.00

Look in the 4 graphs.

Which graph has the following points, (1, 0.5), (2, 1), 3, 1.5), ... , (8, 4)?

It is the second graph (bottom graph of left picture.)

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Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, (6,-3) and (-6,-5).  Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (-6,-5) and going to (6,-3):

Rise = (-3 - (-5)) = +2

Run = (6 - (-6)) = 12

Rise/Run (slope) = 2/12 or 1/6

The equation becomes y = (1/6)x + b

We can find b by enterieng either of the two given points and solving for b.  I'll pick (6,-3):

y = (1/6)x + b

-3 = (1/6)*(6) + b

-3 = 1 + b             [Now you can see why I chose (6,-3)]

b = -4

The equation is y = (1/6)x - 4

Check this with a DESMOS graph (attached).

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3 years ago
Which set(s) of numbers does<br> −<br> 5<br> 4<br> − <br> 4<br> 5<br> ​ <br> belong to?
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Step-by-step explanation:

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