Answer:
A. [tex]y = 2.5\cdot x[/tex]
Step-by-step explanation:
Let be [tex]x[/tex] the sold amount of strawberries, measured in pounds, and [tex]y[/tex] the amount of money acquired due to sales, measured in monetary units. According to the statement of the problem, there is a direct proportionality between [tex]x[/tex] and [tex]y[/tex]. That is:
[tex]y\propto x[/tex]
[tex]y = k\cdot x[/tex]
Where [tex]k[/tex] is the proportionality factor, measured in monetary units per pound. This factor is now deducted and tested: ([tex]x = 4\,lb[/tex], [tex]y = \$\,10[/tex])
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{\$\,10}{4\,lb}[/tex]
[tex]k = 2.5\,\frac{\$}{lb}[/tex]
The proposed formula is [tex]y = 2.5\cdot x[/tex], and then, let consider that [tex]x = 8\,lb[/tex], the the amount of money acquired due to sales is:
[tex]y = 2.5\cdot (8\,lb)[/tex]
[tex]y = \$\,20[/tex]
Which coincides with the relationship described in the statement of problem. Finally, the right answer is A.