Question

An internet cafe charges a fixed amount per minute to use the internet. The cost of using the internet in dollars is, y = 3/4x. If x is the number of minutes spent on the internet, how many minutes will $6 buy?3 minutes4 minutes6 minutes8 minutes

Answer 1

ANSWER

8 minutes

EXPLANATION

We know that the cost of using the internet in dollars is given by,

$y=\frac{3}{4}x$

Where x is the number of minutes spent on the internet.

In this problem, we have to find how many minutes will 6 dollars buy. In other words, we have to find x for y = 6. To solve the given equation for x, we have to multiply both sides by 4,

$\begin{gathered} 4y=4\cdot\frac{3}{4}x \\ \\ 4y=3x \end{gathered}$

And divide both sides by 3,

$\begin{gathered} \frac{4y}{3}=\frac{3x}{3} \\ \\ \frac{4y}{3}=x \end{gathered}$

So, for y = 6, x is,

$x=\frac{4\cdot6}{3}=\frac{24}{3}=8$

Hence, $6 will buy 8 minutes.