Question

olivia is going to use a computer at an internet cafe. the cafe has an initial fee to use the computer and then an additional price per minute of usage. the equation representing the total cost of using a computer for t minutes at the internet cafe is given by c = 0.10t + 7. what is the slope of the equation and what is its interpretation in the context of the problem? answer attempt 1 out of 5 the slope of the function is \boxed{} which represents the number of minutes the computer was used the additional charge per minute the total charge of using a computer the initial charge to use a computer

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. In the given equation \(C=0.10t + 7\), we can compare it with the slope - intercept form. Here, the variable \(t\) is like \(x\) and \(C\) is like \(y\).

Step2: Identify the slope

By comparing \(C = 0.10t+7\) with \(y=mx + b\), we can see that the slope \(m = 0.10\).

Step3: Interpret the slope

In the context of the problem, \(t\) represents the number of minutes of computer usage and \(C\) represents the total cost. The slope is the coefficient of \(t\), which is the rate of change of \(C\) with respect to \(t\). So, a slope of \(0.10\) means that for each additional minute (\(t\) increases by 1), the total cost \(C\) increases by \(0.10\) dollars. So, the slope represents the additional charge per minute.

Answer:

The slope of the function is \(0.10\) which represents the additional charge per minute.