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 [tex]y=3.25x+5.50[/tex] 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.
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\text{Slope}=\frac{38.5-11}{10-0}[/tex]
[tex]\text{Slope}=\frac{27.5}{10}=2.75[/tex]
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.
[tex]y=3.25x+5.50[/tex]
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.
