Abi had 20 cents. She bought x pencils for 3 cents each. If y equals the number of cents left, write an equation that shows the

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3 years ago

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dependence of y on x . What is the domain of the function?

1 answer:

Vladimir [108] · Answer 1 · 2023-01-08T19:10:33+03:00

An equation that shows the dependence of $y$ on $x$ is $y=20-3x$ and the domain of the function is $x=[0,6], x \in N$ .

Total number of cents $= 20$ .

She bought $x$ pencils for $3$ cents each.

Let $y$ equals the number of cents left.

So, $3x+y=20$ .

$y=20-3x$

Here $y$ must be positive

So, $20-3x>0$

$20>3x$

$\frac{20}{3}>x$

Domain of a function is the set of values for which the function is defined.

So, $x$ can get values from $0$ to $6$ .

Therefore, the domain is:

$x=[0,6], x \in N$ .

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