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olga_2 [115]
3 years ago
12

If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4? a. 3.75 b. 1.67 c. 0.1 d. 7.5 Please select the best

answer from the choices provided
Mathematics
2 answers:
REY [17]3 years ago
8 0
Because y varies inversely as x, therefore
y= \frac{k}{x}
where k =  constant.

When x = 6, y = 2.5. Ther efore
\frac{k}{6} = 2.5
Cross multiply.
k = 6 x 2.5 = 15

The equation is
y =  \frac{15}{x}

When x = 4, obtain
y =  \frac{15}{4}= 3.75

Answer: a. 3.75

Sphinxa [80]3 years ago
3 0
Inverse proportion is given in the form
y= \frac{k}{x}

We need to work out the constant, k, by substituting x = 6 and y = 2.5
2.5= \frac{k}{6}
k=2.5*6
k=15

The value of y when x = 4
y =  \frac{15}{x}
y= \frac{15}{4}
y=3.75
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\pink{ \boxed{ \boxed { \tt{Our \: final \: answer :  \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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