The table shows the cost to have various numbers of pizzas delivered from papas slice of italy pizzeria. is the relationship between the cost and the number of pizzas proportional? explain.

 No

Step-by-step explanation:

We know that the equation for direct proportion between two quantities x ( independent variable) and y (dependent variable) is given by :-

, where k is the proportionality constant.

if the relationship between the cost (dependent variable ) and the number of pizzas (independent variable ) is proportional, then k in the above equation remains constant for each row.

Let

1)

2)  

But 10≠12.50, thus the value for k is not fixed.

Hence, the relationship between the cost and the number of pizzas is not proportional.

y=mx+b

step-by-step explanation:

m slope

b y-intercept

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x