Answered

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8. You have $15 in five-dollar bills and one-dollar bills. Let x represent the number of five-dollar bills you

have and y represent the number of one-dollar bills you have.
a. Write an equation that represents all the possible combinations of five-dollar lbills and one-dollar
bills you could have with $15.
b. Graph this equation to show all the different dollar bill combinations.
c. What do the ordered pairs on the graph represent?
d. How many one-dollar bills would you have if you have 2 five-dollar bills?
e. How many five-dollar bills would you have if you have 10 one-dollar bills?
f. Find and describe the x'and y-intercepts for this context.

Sagot :

Answer:

Below

Step-by-step explanation:

a.

5x + y = 15

b.

I can't put a graph here, but it is a straight line through (3, 0) and (0,15).

c.

The ordered pairs on the graph represent the possible combinations of 5 dollar bills (x-coordinate) and 1 dollar bills (y-coordinate) you can have summing to $15.

The valid pairs are: (3, 0), (2, 5), (1, 10), (0, 15)

d.

If you have 2 $5 bills, you will have 5 $1 bills (from the pair (2, 5)).

e.

If you have 10 $1 bills, you will have 1 $5 bill (from the pair (1, 10)).

f.

The x-intercept is (3, 0); this ordered pair is when we have 3 $5 bills and no $1 bills.

The y-intercept is (0,15); this ordered pair is when we have 15 $1 bills and no $5 bills.

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