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) Annamarie pays $2.75 per basket picked.

b) The farm where Bri picks charges less per basket picked.

c) Bri pays $5.50 per basket picked.

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

Answer 1

The correct answer is a & d.
If you find the equation for Annamarie, you get y = 2.75x+ 11.

Using the slope formula to find what Annamarie pays per basket.
(38.5 - 11)/(10 - 0) = 2.75
Annamarie's flat fee is $11 and Bri's flat fee is $5.50

Answer 2

Answer:

Option a and d are correct choices.

Step-by-step explanation:          

We have been given a graph that shows the total cost for Annamarie based on the number of baskets of strawberries picked. We have been also given the equation $y=3.25x+5.50$ representing total cost for Bri with y representing the cost and x representing the number of baskets picked.

Let us see our given options one by one to find the correct choices.

a) Annamarie pays $2.75 per basket picked.

Let us find cost paid by Annamarie for per basket of strawberries picked by finding slope of our given graph.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{38.5-11}{10-0}$

$\text{Slope}=\frac{27.5}{10}=2.75$

We can see that Annamarie pays $2.75 for picking per basket of strawberries, therefore, statement represented by option a is true.  

b) The farm where Bri picks charges less per basket picked.

$y=3.25x+5.50$

We can see from our given equation that farm, where Bri picks strawberries, charges $3.25 per basket of strawberries picked. Farm where Annamarie picks strawberries charges $2.75 per basket of strawberries picked, which is less than Bri's farm, therefore, statement represented by option b is false.

c) Bri pays $5.50 per basket picked.

We can see from our given equation that Bri pays $3.25 per basket picked strawberries and $5.50 is flat fee of the farm where Bri picks strawberries. Therefore, statement represented by option c is false.  

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

We can see from graph that Annamarie pays a flat fee of $11 (y-intercept), while Bri pays $ 5.50 of a flat fee, therefore, statement represented by option d is a true statement.