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.

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

The points on the graph for the amount of strawberries picked by Annamarie are (0, 11), (10, 38.5).

(10, 38.5)

38.5/10 = 3.85

Annamarie pays $3.85 per basket.

y = 3.25x + 5.5

(3.25, 5.5)

The amount of strawberries picked by Bri is (3.25, 5.5).

Bri pays $5.50 per basket.

The farm where Bri chose to pick strawberries charges more for them so A and B are not the answer.

Annamarie pays $3.85 per basket so C is not one of the answers.

The only answer is D) Bri pays $5.50 per basket picked.

Answer 2

Answer:

$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. \:$

C) Annamarie pays $2.75 per basket picked.