Question

1) Complete the table using the equation: y = 1760m Show your work. distance measured in miles distance measured in yards 1 5 3,520 17,600 Does this table represent a proportional relationship? Explain why or why not.

Answer 1

It is a proportional relationship

Step-by-step explanation:

Equation: y = 1760m

where y = disatnce mesured in yards

m = distance measured in miles

when m = 1

y = 1760(1)

y = 1760

when m = 5

y = 1760(5)

y = 8800

when y = 3520, m = ?

3520 = 1760m

m = 3520/1760

m = 2

when y = 17600, m = ?

17600 = 1760m

m = 17600/1760

m = 10

For the table to represent a proportional relationship, it must follow the form:

y = kx

in this case: y = km

where k = constant of proportion

From the workings above, y and m changes but the number 1760 remains constant

k = 1760

y = 1760m

Hence, it is a proportional relationship