For the Earbuds:
The price of the earbuds is as shown in the graph below:
Evaluate the slope of the above graph.
The slope of the above graph gives the change in price of earbuds.
Thus,
[tex]\begin{gathered} \text{slope}=\frac{change\text{ in price of earbuds}}{change\text{ in number of earbuds}}=\frac{8-4}{4-2}=\frac{4}{2} \\ =2 \end{gathered}[/tex]
Thus, the price of the earbuds is evaluated to be
[tex]\begin{gathered} P\text{ = 2x} \\ \text{where} \\ x\text{ is the number of earbuds to be bought} \end{gathered}[/tex]
For headphones:
The price of the headphones is as shown in the table below:
The price change in headphones gives the slope.
The slope is thus evaluated to be
[tex]\begin{gathered} \text{slope}=\frac{change\text{ in price of headphones}}{change\text{ in number of headphones}}=\frac{y_2-y_1}{x_2-_{}x_1}=\frac{10-5}{2-1} \\ =5 \end{gathered}[/tex]
Thus, the price of the headphones is evaluated to be
[tex]\begin{gathered} P=5x \\ \text{where} \\ x\text{ is the number of headphones to be bought} \end{gathered}[/tex]
A steeper(higher) slope corresponds to a higher price. Since the slope for the headphone is higher than that of the earbud, we can conclude that the Earbud is a cheaper product.
