Question

Bri and Annamarie are picking strawberries at two different strawberry farms that charge a flat fee plus a cost per basket picked. The graph shows the total cost for Annamarie based on the number of baskets of strawberries picked. Graph in the coordinate plane with title strawberries picked by Annamarie.
Vertical axis goes from 0 to 50 in increments of 5 and is labeled cost in dollars. Horizontal axis goes from 0 to 10 in increments of 1 and is labeled time in hours.

A ray on the graph starts at point begin ordered pair 0 comma 11 end ordered pair and goes through point begin ordered pair 10 comma 38.5 end ordered pair. The equation y = 3.25x + 5.5 shows the total cost for Bri with y representing the cost and x representing the number of baskets picked.

Which statements about the baskets picked by the two girls are true?

Select each correct answer.

A.The farm where Bri picks charges less of a flat fee.
B.The farm where Bri picks charges less per basket picked.
C. Annamarie pays $2.75 per basket picked.
D. Bri pays $5.50 per basket picked.

Answer 1

From the graph, the equation representing the number of strawberries picked by Annamarie is given by:

$\frac{y-11}{x-0} = \frac{38.5-11}{10-0} \\ \\ \frac{y-11}{x} = \frac{27.5}{10} =2.75 \\ \\ y-11=2.75x \\ \\ y=2.75x+11$

Given that the equation representing the number of strawberries picked by Bri is given by y = 3.25x + 5.5

From the two equations we can deduce that :

The farm where Bri picks charges less of a flat fee.

Annamarie pays $2.75 per basket picked.