Chapter 3.3, Problem 70E

(a) To find:

The x-intercept rounded to nearest tenth.

Solution:

x-intercept is $\left(\mathrm{147,0}\right)$

Concept:

To find the $x$-intercept of a graph, we should substitute $y=0$ in the given equation.

A point where a graph crosses the $x$-axis is called as $x$-intercept.

It is in the form of (a, 0).

To find the y-intercept of a graph, we should substitute x $=0$ in the given equation.

A point where a graph crosses the $y$-axis is called as $y$-intercept.

It is in the form of (0, b).

Explanation:

Given equation is $y=0.24x+5.28$

Let y=0, $0=0.24x+5.28$

$0.24x=-5.28$

$x=\frac{-5.28}{0.24}$

$x=-22$

we get, x-intercept is $(-22, 0)$

Conclusion:

x-intercept is $(-22, 0)$

(b) To find:

The meaning of x-intercept rounded to nearest tenth.

Solution:

The number of analaog movie screens became zero after 5 years since 2009.

Concept:

To find the $x$-intercept of a graph, we should substitute $y=0$ in the given equation.

A point where a graph crosses the $x$-axis is called as $x$-intercept.

It is in the form of (a, 0).

To find the y-intercept of a graph, we should substitute x $=0$ in the given equation.

A point where a graph crosses the $y$-axis is called as $y$-intercept.

It is in the form of.edc(0, b).

Explanation:

Given equation is $y=0.24x+5.28$

Where x is number of years and y is number of analog movie screens

Let y=0, $0=0.24x+5.28$

$x=-22$

we get, x-intercept is $(-\mathrm{22,0})$

This means, The price of regular admission was zero dollars 22 years ago since 2000. That is 1978. Minus symbol represents the number of years decreasing.

To determine

c) To use:

Part (b) to comment on your opinion of the limitations of using equations to model real data.