A farmstand sells two types of grapes. the cost of green grapes can be represented by the equation Y= 1.5X, where Y is the total cost for X pounds. the graph represents the cost of black grapes which statement must be true?

A. Three pounds of green grapes cost $6.00.
B. Black grapes cost less per pound than green grapes l.
C. Black grapes cost more per pound than green grapes.
D. Two pounds of black grapes cost $3.00.


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A farmstand sells two types of grapes the cost of green grapes can be represented by the equation Y 15X where Y is the total cost for X pounds the graph repres class=

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Answer:

C. Black grapes cost more per pound than green grapes.

Step-by-step explanation:

Verify each statement

A. Three pounds of green grapes cost $6.00

The statement is False

Because

For x=3 pounds

y=1.5x

y=1.5(3)=$4.5

B. Black grapes cost less per pound than green grapes

The statement is False

Because

For x=1 pound

The green grapes cost ----> y=1.5(1)=$1.5

Observing the graph

For x=1 pound

The black grapes cost $2

C. Black grapes cost more per pound than green grapes.

The statement is True

D. Two pounds of black grapes cost $3.00.

The statement is False

Because

Observing the graph

Two pounds of black grapes cost $4

An equation is formed of two equal expressions. The third statement is true.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) The cost of a pound of green grapes is,

Y = 1.5X = 1.5×3 = 4.5

Hence, the first statement is false.

B.) The cost of a pound of green grapes is $1.5, while the cost of a pound of black grapes is $2. Thus, the second statement is false.

C.) The cost of a pound of green grapes is $1.5, while the cost of a pound of black grapes is $2. Thus, the third statement is true.

D.) As per the graph, the cost of 2 pounds of grapes is $4. Thus, the fourth statement is wrong.

Hence, the third statement is true.

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