Question

Sofie makes and sells scarves. Her profit depends on what price she charges for a scarf

She writes the expression
(x - 5) (50 - 2x) to represent her profit based on the price per scarf, x

Drag inequalities to the table to
match the description in each row.​

Answer 1

To match the description in each row, evaluate the expression (x - 5)(50 - 2x) for different values of x and compare the results to the given descriptions.

Step-by-step explanation:

To match the description in each row, we need to drag the correct inequality symbol onto the table. Given the expression (x - 5)(50 - 2x), which represents the profit based on the price per scarf x, we can evaluate it and compare the resulting value to the given descriptions. For example, if we want to match the row that says 'Expensive hand-woven scarves only,' we can evaluate the expression for a very high value of x. If the result is positive, then the inequality should be '>.' If it is negative, the inequality should be '<.' Repeat this process for the other rows to match the descriptions.

Answer 2

When Sophie's profit is increasing: 5<x<15

When Sophie's profit is decreasing: 15<x<25

When Sophie is not making a profit: x_<_5 or x_>_25

Step-by-step explanation:

I just did it on imagine math. I hope this helps.