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.

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windyyork windyyork · Answer 2 · 2019-10-22T07:16:59+02:00

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

Step-by-step explanation:

Since we have given that

[tex]f(x)=280x[/tex]

Here, x is the number of hours.

Number of appliances per hour = 280

If the number of hours = 7

So, [tex]f(7)=280\times 7=1960[/tex]

If the number of hours = [tex]4\dfrac{1}{4}=\dfrac{17}{4}[/tex]

So, [tex]f(\dfrac{17}{4})=280\times \dfrac{17}{4}=70\times 17=1190[/tex]

Number of more appliances that can be produced is given by

[tex]1960-1190\\\\=770[/tex]

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