Mathematics: If y varies directly as x to the power of 2 and y=6 when x=6, find the constant of variation

If y varies directly as x to the power of 2 and

AllanCasey12

11.03.2022

y varies directly as xto the power of 2 means

$\frac{y}{x^2}=k$

where k is constant of variation

when y=6 and x=6, find k

subsitute

$\frac{6}{6^2}=k$

$\frac{6}{36}=k$

$\frac{1}[6}=k$

the constant of variation is $\frac{1}{6}$

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kobiemajak

27.11.2020

m2.40

Step-by-step explanation:

Let m denotes the number of minutes of phone use in a month.

In plan a there is no monthly fee, but the customer pays 8 cents per minute of use.

Total cost of plan a =

In Plan B the customer pays a monthly fee of $2.40 and then an additional 7 cents per minute of use.

Total cost of plan b = 2.40+7m

To find amount of monthly phone use for which plan a cost more than plan b, solve the inequality 8m2.40+7m .

$8m2.40+7m\\8m-7m2.40\\m2.40$

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