Chapter 8, Problem 46SGR

(a)

To determine

To write: an equation in slope-intercept form

Answer to Problem 46SGR

The rent is $y=100+30x$ .

Explanation of Solution

Given:

Consider that rent of Movie Theater is $100 plus $30 per hour.

Calculation:

Now, if rent is denoted by y and number of hours is denoted by x

And, we know that the general equation of the line in slope intercept form is $y=mx+b$

Here, m represents slope of the line that represents change in y with respect to change in x

Hence, number of hours is directly related to rent. It means that if number of hour’s increases then rent also increases.

Thus, the rent is $y=100+30x$

Conclusion:

Therefore, the rent is $y=100+30x$ .

(b)

To determine

To find:the cost of renting the theater for 4 hours.

Answer to Problem 46SGR

The cost of renting is $220.

Explanation of Solution

Calculation:

In order to calculate cost of renting for 4 hours, put the value of $x=4$ in equation.

  $\begin{array}{l}y=100+30\left(4\right)\\ =100+120\\ =220\end{array}$

Conclusion:

Therefore, the cost of renting is $220.