enter the correct answer in the box.\neach student ticket for an art museum costs $12.50. the total cost for…

enter the correct answer in the box.\neach student ticket for an art museum costs $12.50. the total cost for student tickets, t, varies directly as the number of tickets, s, purchased. write an equation that models the proportional relationship between t and s.

enter the correct answer in the box.\neach student ticket for an art museum costs $12.50. the total cost for student tickets, t, varies directly as the number of tickets, s, purchased. write an equation that models the proportional relationship between t and s.

Answer

Explanation:

Step1: Recall the direct - variation formula

The formula for direct variation is (y = kx), where (k) is the constant of variation. In this case, (t) (total cost) varies directly as (s) (number of tickets), so (t=ks).

Step2: Find the value of (k)

We know that when (s = 1) (one ticket), (t=$12.50). Substituting (s = 1) and (t = 12.50) into the formula (t=ks), we get (12.50=k\times1), so (k = 12.5).

Step3: Write the equation

Substitute (k = 12.5) back into the direct - variation formula (t=ks). The equation is (t = 12.5s).

Answer:

(t = 12.5s)