Chapter 4.4, Problem 7E

(a)

To determine

To find the price of the laptop with a hard drive capacity of $8$ gigabytes.

  

Answer to Problem 7E

The price of the laptop with a hard drive capacity of $8$ gigabytes is $1100$ dollars.

Explanation of Solution

Given:

  

Formula Used:

The coordinates are written as $\left(x,y\right)$

Calculation:

Given:

  

As per the above definition, we have from the above scatterplot:

For $x=8$ , the value of $y$ is $1100$ .

Thus, the price of the laptop with a hard drive capacity of $8$ gigabytes is $1100$ dollars.

Conclusion:

The price of the laptop with a hard drive capacity of $8$ gigabytes is $1100$ dollars.

(b)

To determine

To find the hard drive capacity of the $\$1200$ laptop.

  

Answer to Problem 7E

The hard drive capacity of the $\$1200$ laptop is 12 gigabytes.

Explanation of Solution

Given:

  

Formula Used:

The coordinates are written as $\left(x,y\right)$

Calculation:

Given:

  

As per the above definition, we have from the above scatterplot:

For $y=1200$ , the value of $x$ is $12$ .

Thus, the hard drive capacity of the $\$1200$ laptop is 12 gigabytes.

Conclusion:

The hard drive capacity of the $\$1200$ laptop is 12 gigabytes.

(c)

To determine

To determine the tend to the price as the hard drive capacity increases.

  

Answer to Problem 7E

The price of the laptop increases as the hard drive capacity increases.

Explanation of Solution

Given:

  

Formula Used:

The coordinates are written as $\left(x,y\right)$

Calculation:

Given:

  

As per the above definition, we have from the above scatterplot:

When the value of $x$ increase, the value of $y$ also increases.

Thus, the price of the laptop increases as the hard drive capacity increases.

Conclusion:

The price of the laptop increases as the hard drive capacity increases.