The pairs of numbers below represent the price of different quantities of books at 4 stores.
Which pair of numbers represents a proportional relationship?
o 4 books for $24,8 books for $40
o 5 books for $25, 6 books for $36
o 2 books for $14, 5 books for $35
o 3 books for $15, 7 books for $28

Option C: 2 books for $14, 5 books for $35

Step-by-step explanation:

A proportional relationship between two quantities would always have a constant of proportionality. Thus,

Constant of proportionality, k = y/x

In this case,

x = quantity of books

y = price

Let's see which pair will have a constant of proportionality:

Option A: 4 books for $24,8 books for $40

24/4 = 6;

40/8 = 5.

No constant of proportionality.

Option B: 5 books for $25, 6 books for $36

25/5 = 5

36/6 = 6

No constant of proportionality.

Option C: 2 books for $14, 5 books for $35

14/2 = 7

35/5 = 7

Constant of proportionality, k = 7.

This pair represents a proportional relationship.

Option D: 3 books for $15, 7 books for $28

15/3 = 5

28/7 = 4

No constant of proportionality.

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.