Question

If a machine produces 280 appliances per hour, the total number of appliances produced in x hours can be represented as a function f(x)=280x. How many more appliances can be produced in 7h than in 4 1/4 h?

Answer 1

Answer: There are 770 more appliances that can be produced.

Explanation:

Since we have given that

`f(x)=280x`

Here, x is the number of hours.

Number of appliances per hour = 280

If the number of hours = 7

So,
`f(7)=280* 7=1960`

If the number of hours =
`4(1)/(4)=(17)/(4)`

So,
`f((17)/(4))=280* (17)/(4)=70* 17=1190`

Number of more appliances that can be produced is given by

`1960-1190\\\\=770`

Hence, there are 770 more appliances that can be produced.

Answer 2

The problem asks for the difference between the appliances produced between 7 hours and 4 1/4 hours.
First, we substitute the values to the function f(x)=280x.

f(x₁) = 280x = 280(7) = 1960
f(x2) = 280x = 280(4.25) = 1190

f(x₁) - f(x2) = 1960 - 1190 = 770

There are 770 more appliances produced.