For her daughter's birthday party, Mrs. Hutchinson buys p pizzas at x dollars each and g gallons of lemonade at y dollars each. Use this information to answer any questions that follow. Suppose the equation 4y−x=0 is true. What does the coefficient 4 signify about Mrs. Hutchinson's purchases?

Coefficient 4 signify about the slope of a straight line formed by the given statement in the question

Step-by-step explanation:

Given that,

Mrs. Hutchinson buys p pizzas at x dollars each and g gallons of lemonade at y dollars each. suppose the equation is true.

To find :-  what does the coefficient 4 signify about Mrs. Hutchinson purchases?

from the question,

Let the total cost of both items be c.

So, total cost of p pizzas is

And total cost of g gallons of lemonade is

Now combining all cost of birthday party

                                                      ............(1)

                                                       .............(2)

Here from equation (1) & (2) we found that both are equation of a straight line.

          ⇒                      &

          ⇒              

So, we get that coefficient 4 signify about the slope of a straight line formed by the given statement in the question.

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