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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.

Respuesta :

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Answer:

Graph is attached

144 baskets

[tex]y=2.5x[/tex]

Step-by-step explanation:

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

[tex]y=2.5x[/tex]

Some points which satisfy the equation is

[tex]y=2.5\times 1\\\Rightarrow y=2.5[/tex]

[tex](1,2.5)[/tex]

[tex]y=2.5\times 3\\\Rightarrow y=7.5[/tex]

[tex](3,7.5)[/tex]

[tex]y=2.5\times 5\\\Rightarrow y=12.5[/tex]

[tex](5,12.5)[/tex]

His goal is to earn $360 so [tex]y=360[/tex]

[tex]360=2.5x\\\Rightarrow x=\dfrac{360}{2.5}\\\Rightarrow x=144[/tex]

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

The algebraic relation is [tex]y=2.5x[/tex].

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