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IrinaVladis [17]
3 years ago
11

Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. If he has 18 shirts, how many pai

rs of jeans does he have?       
please help me ASAP
Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0
The ratio, simplify it
12shirts:6jeans
12/6=2/1
or
2shirts:1jean

18shirts
18/2=9

2shirts times 9=18shirst
2shirts:1jean times 9:9=18shirts:9jeans
answer is 9 pairs of jeans
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So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is \frac{y_2-y_1}{x_2-x_1} . Using what we have, we can solve it as such:

\frac{\frac{19}{21}-(-1)}{8-0}=\frac{\frac{40}{21}}{8}=\frac{40}{21*8}=\frac{40}{168}=\frac{5}{21}

In short, the average rate of change from x = 0 to x = 8 is 5/21.

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