A food critic collected data on the lengths of time customers waited for their food. On how many customers did the food critic collect data? Time Customers Waited for Food (in hours) 1 2 , 1 4 , 3 4 , 1 2 , 1 4 , 1 2 , 1 The food critic collected data on customers.

(a)7 Customers

(b)

Step-by-step explanation:

The Time Customers Waited for Food (in hours) are given as:

(a)To determine the number of customers on which the food critic collected data, we simply count the information recorder on the length of time the customers waited.

Number of Customers on which the food critic collected data =7

(b)Next, we are required to find the difference in the longest and shortest time that customers waited.

From the given data:

Longest Time = 1 Hour

Shortest time =

The Difference in time

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: