Question

=Knowledge CheckQuestion 11For parts (a) and (b) below, choose the correct description.Fill in the blanks as necessary.(a) A local store is keeping track of service times. The table below shows thenumber of customers served and the time it took.[Number of customers479Time (in minutes)122127It does not always take the same amount of time to serve each customer.It appears to take the same amount of time to serve each customer.Predicted amount of time to serve 10 customers: minutes(b) Customers of a certain credit card earn points for using the card. The tablebelow shows the number of points earned for the amount spent.Number of points244063

Answer 1

Hello!

Part (a):

To obtain the amount of time spent to serve each customer, we can use the formula below:

`\text{time for each customer}=\frac{\text{total time}}{\text{ number of customers}}`

Let's check these three situations:

`\begin{gathered} t=(12)/(4)=3 \\ \\ t=(21)/(7)=3 \\ \\ t=(27)/(9)=3 \end{gathered}`

It appears to take the same amount of time to serve each customer (3 mins each one).

Time to serve 10 customers: 10 * 3 = 30 minutes.

Part (b):

We will solve it in a similar way, but now using this formula:

`p=\frac{\text{ number of points}}{\text{ dollars spent}}`

Let's check each option:

`\begin{gathered} p=(24)/(3)=8 \\ \\ p=(40)/(5)=8 \\ \\ p=(63)/(9)=7 \end{gathered}`

Each dollar spent does not always earn the same number of points.