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

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

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* x`

And total cost of g gallons of lemonade is
`y* 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 = (-p)/(g)x +c` &

⇒
`y = (x)/(4)`

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