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Leokris [45]
3 years ago
8

Lucy collects data from a random sample of seventh-graders. Out of 40 respondents, 7 attend after-school programs. Of the 200 se

venth-graders attending Lucy’s school, how many would be expected to attend afterschool programs?
Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

35

Step-by-step explanation:

For every 40 students, you add 7

Ratio:

Students : Students in afterschool programs

40:7

80:14

120:21

160:28

200:35

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The solution to this equation is x = 0 or x = 1

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Irina-Kira [14]

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Start by writing the system down, I will use y to represent f(x)

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Substitute the fact that y=-3 into the first equation to get,

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Simplify into a quadratic form (ax^2+bx+c=0),

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Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

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And the solutions will be m,n.

Clearly for small coefficients like ours 5,6, this is very easy to figure out. To get 5 and 6 we simply say that m=3, n=2.

This fits the definition as 5=3+2 and 6=2\cdot3.

So as mentioned, solutions will equal to m=3, n=2 but these are just x-values in the solution pairs of a form (x,y).

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are (2,0) and (3,0).

Hope this helps :)

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answer

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Answer:

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