Question

Lance is selling strawberries at his local farmer’s market. He sells 4 pounds of strawberries for $10 and 8 pounds of strawberries for $20. Which equation represents this situation? A. y= 2.5x B. y=2x C. y= 2.5/x D. y= 2/x

The answer is y=2.5x

Answer 1

y = 2.5x

Explanation:

Just did it on Edmentum and got it right

Answer 2

A.
`y = 2.5\cdot x`

Explanation:

Let be
`x` the sold amount of strawberries, measured in pounds, and
`y` 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
`x` and
`y`. That is:

`y\propto x`

`y = k\cdot x`

Where
`k` is the proportionality factor, measured in monetary units per pound. This factor is now deducted and tested: (
`x = 4\,lb`,
`y = \$\,10`)

`k = (y)/(x)`

`k = (\$\,10)/(4\,lb)`

`k = 2.5\,(\$)/(lb)`

The proposed formula is
`y = 2.5\cdot x`, and then, let consider that
`x = 8\,lb`, the the amount of money acquired due to sales is:

`y = 2.5\cdot (8\,lb)`

`y = \$\,20`

Which coincides with the relationship described in the statement of problem. Finally, the right answer is A.