Question

Profit earned from Product X is shown below. Another Product Y also has the same profit but it started selling 1.5 years after start of sale of Product X. What will be the new set of input values for the Product Y?

• A. $1.5\le x<4.5$
• B. $1\le x\le 4$
• C. $0\le x\le 3$
• D. $1.5\le x\le 4.5$

Answer 1

The correct option is D $1.5\le x\le 4.5$

From the graph, we observe:


The initial coordinates of Product X are (0, 20) and (3, 65)

It is given that Product Y have same profit but it started its selling 1.5 years after start of sale of Product X.

We know, the values on the x-axis represent the domain values, whereas the values on the y-axis represent the output values.

So, we must shift the horizontal line by 1.5 points to the right to get the required points.

∴ The new x-coordinates will be 1.5 and 4.5

So, the input values varies from 1.5 to 4.5.

$\text{Therefore the set of domain values are}$
$1.5\le x\le 4.5$