Question

The equation c=2.5t represents the cost, c, for t tickets to the school play. Does a value of 3.5 for t make sense in this situation? Explain your reasoning

Answer 1

No, a value of t = 3.5 does not make any sense in this situation

Explanation:

Let

t ----> the number of tickets

c ---> the cost

we have

`c=2.5t`

This is a proportional relationship between the variables c and t

The slope or constant of proportionality is equal to

`k=\$2.5\ per\ ticket` ---> is the same that the unit rate

In this problem

The value of t must be a whole number, because you cannot buy a half of ticket

The variable t is a discrete value