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?

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.