Question

Price+++++aWhich productis cheaper?+++++ear budshead phones 12 3 4b)price 5 10 15 20

Answer 1

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,

`\begin{gathered} \text{slope}=\frac{change\text{ in price of earbuds}}{change\text{ in number of earbuds}}=(8-4)/(4-2)=(4)/(2) \\ =2 \end{gathered}`

Thus, the price of the earbuds is evaluated to be

`\begin{gathered} P\text{ = 2x} \\ \text{where} \\ x\text{ is the number of earbuds to be bought} \end{gathered}`

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

`\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}=(10-5)/(2-1) \\ =5 \end{gathered}`

Thus, the price of the headphones is evaluated to be

`\begin{gathered} P=5x \\ \text{where} \\ x\text{ is the number of headphones to be bought} \end{gathered}`

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.