Question

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?

Answer 1

Answer:

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 $4y - x=0$ 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 $p\times x$

And total cost of g gallons of lemonade is $y\times g$

Now combining all cost of birthday party

                          $yg + px = c$                             ............(1)

                          $4y - x=0$                              .............(2)

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

          ⇒               $y = \frac{-p}{g}x +c$        &

          ⇒               $y = \frac{x}{4}$

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