Question

What equation models the data in the table if d = number of days and c = cost?

Days Cost
2 44
3 66
5 110
6 132

c = 22d


d = 22c


c = d + 22


c = d + 22d

Answer 1

C = 22d is the correct answer because for every day the cost increases by 22 so two days mean the cost is equal to 22 (2)

Answer 2

The equation that models the data in the table is:

`c=22d`

Explanation:

The table that represent the days and cost is given by:

Days Cost

2 44

3 66

5 110

6 132

We see that the cost is a constant multiple of the number of days.

i.e. the equation is given by:

c=22d

i.e. the relationship is linear.

( Since, when d=2

we have: c=22×2=44

when d=3 we have:

c=22×3=66

and so on )