Question

4. Gilbert works picking strawberries. He

earns $2.50 for each large basket he fills.
a) Draw a scatter plot to represent the
relationship between the number of
baskets Gilbert fills and the money
he earns.
b) If Gilbert's goal is to earn $360.
how many baskets must he fill?
c) Write an algebraic expression to
describe the relationship.

Answer 1

Graph is attached

144 baskets

`y=2.5x`

Explanation:

Let y be the total amount of money Gilbert earns and x be the number of baskets filled. So, we get the relation

`y=2.5x`

Some points which satisfy the equation is

`y=2.5* 1\\\Rightarrow y=2.5`

`(1,2.5)`

`y=2.5* 3\\\Rightarrow y=7.5`

`(3,7.5)`

`y=2.5* 5\\\Rightarrow y=12.5`

`(5,12.5)`

His goal is to earn $360 so
`y=360`

`360=2.5x\\\Rightarrow x=(360)/(2.5)\\\Rightarrow x=144`

Hence, to earn $360 he must fill 144 baskets.

The algebraic relation is
`y=2.5x`.