Question

Is the relationship between the number of slices of salami in a sandwich and the number of calories proportional? Explain.

slices of salami | calories

1 | 66
2 | 96

3 | 126

4 | 156

Answer 1

No, it is not proportional

Step-by-step explanation: you have to divide the numbers.

66/1=66

96/2=48

126/3=42

156/4= 39

Answer 2

The number of slices of salami and the number of calories are not proportional

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x -----> the number of slices of salami

y ----> the number of calories

Find out the value of the constant of proportionality k

For (1,66) ----->
`k=y/x` ---->
`k=66/1=66\ calories/slice`

For (2,96) ----->
`k=y/x` ---->
`k=96/2=48\ calories/slice`

For (3,126) ----->
`k=y/x` ---->
`k=126/3=42\ calories/slice`

For (4,156) ----->
`k=y/x` ---->
`k=156/4=39\ calories/slice`

The values of k are different

therefore

The number of slices of salami and the number of calories are not proportional