Question

Write an equation to represent the total cost for a certain number of cans. Use “c” for cost and “n” for number of cans.

Answer 1

C = 1.25n

Explanation:

From the given table,

There is a common difference of $1.25 in every successive term to the previous term of the total cost,

Difference in the costs of 2 cans and 1 can = $2.50 - $1.25 = $1.25

Similarly, Difference in the costs of 3 cans and 2 cans = $3.75 - $2.50 = $1.25

Total cost of the cans are forming an Arithmetic sequence, explicit formula the sequence will be,

`T_n=a+(n-1)d`

= 1.25 + (n -1)(1.25)

Or, C = 1.25 + 1.25n - 1.25

C = 1.25n