2. The time between engine failures for a 2-1/2-ton truck used by the military is
normally distributed with a mean of 6000 miles and a standard deviation of 800
miles. What the chance that a truck will be able to travel a total distance of over
5000 miles without an engine failure? What's the chance that a fleet of a dozen
trucks will have an average time-between-failures of 5000 miles or more?

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:

point m is on plane r

answer: the actual answer is a. good bank will have the least amount in fees per year.