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Leni [432]
3 years ago
10

Randall bought a notebook for $8 and 6 highlighters. He spent a total of $20.how much did each highlighter cost

Mathematics
2 answers:
Juliette [100K]3 years ago
5 0
The total amount Randall spent was $20.
He bought a notebook for $8.
So he has $12 dollars left.
Then he buys 6 highlighters.
Divide 12 by 6.
Each highlighter is $2.
djverab [1.8K]3 years ago
4 0
First you subtract the $8 from the $20 so you have $12 that you bough 6 highlighters with. Then you do the math and each highlighter cost $2
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Please Help Me With This Math Problem
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Answer:

Yes the relationship is linear and given by:

y+2=-\frac{5}{4} \,(x+9) (first option of your list)

Step-by-step explanation:

Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:

-7-(-2) = -7+2 = -5

-12-(-7) = -12 +7 = -5

-17 - (-12) = -17 + 12 = -5

We notice that all of them give "-5"

Now we evaluate the difference between consecutive x-values in a similar fashion:

-5 -(-9) = -5+9 = 4

-1-(-5) = -1+5 = 4

3-(-1) = 3+1 = 4

We see that they all give 4 as the difference.

That means that the rate of change \frac{y_2-y_1}{x_2-x_1} =\frac{y_3-y_2}{x_3-x_2}=\frac{y_4-y_3}{x_4-x_3}=\frac{-5}{4}

This means that the slope (rate of change) of the line is "-5/4"

We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:

y-y_0=m\,(x-x_0)\\y-(-2)=-\frac{5}{4} \,(x-(-9))\\y+2=-\frac{5}{4} \,(x+9)

which is the first expression listed among your possible answer choices.

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Step-by-step explanation:

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