Question

Clarence sells yearly subscriptions to a particular magazine. He sells at least 10 and no more than 25 subscriptions each week. The function f(t)=48t represents the amount of money earned for selling t subscriptions each week.

What is the practical range of the function?

all multiples of 48 between 480 and 1200, inclusive
all whole numbers from 480 to 1200, inclusive
all real numbers
all whole numbers from 10 to 25, inclusive

Answer 1

We have that Clarence sells yearly subscriptions to a particular magazine.

He sells at least 10 and not more than 25 subscriptions each week.

The function f(t) = 48t represents the amount of money earned for selling t subscriptions each week.

So;

10 ≤ t ≤ 25

f(t) therefore is 48(10) ≤ f(t) ≤ 48(25)

This gives: 480 ≤ f(t) ≤ 1200

So the amount of money earned f(t) for selling t subscriptions each week is all multiples of 48 between 480 and 1200, inclusive.

Answer 2

A.All multiples of 48 between 480 and 1200 inclusive

Explanation:

We are given that

Clarence sells yearly subscriptions to a particular magazine.

The function

`f(t)=48t`

Where f(t) represents the amount of money earned for selling t subscriptions each week.

`10\leq t\leq 25`

We have to find the practical range of the function.

Substitute t=10 then we get

`f(10)=48(10)=480`

Substitute t=25

`f(25)=48(25)=1200`

The range of function

`480\leq f(t)\leq 1200`

All multiples of 48 between 480 and 1200 inclusive

Hence,option A is true.