A movie ticket costs $7 today. Inflation is expected to gorw by four precent a year for the next several years. If 'N' represents to current cost of the ticket, 't' , the time in years, and 'r', the rate of inflation, use for the formula, C=n(1+r)^t to predict the cost (c) of the ticket, if this inflation rate continues... (a) for 5 years
(b) for 30 years

a

Step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: