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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.

a )How many appliances can be produced in 3.5 hours?
b)How many more appliances can be produced in 7h than in 4.25h

PLEASE answer both questions!

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Respuesta :

qabtt qabtt · Answer 1 · 2018-09-03T00:36:35+02:00

a) For this first part, all we need to do is "plug in" 3.5 for [tex] x [/tex], which gives us a value of [tex] 280(3.5) = 980 [/tex].

b) For this second part, we will find the number of appliances produced in 7 hours and then subtract the number of appliances produced in 4.25 hours:

[tex] 280(7) - 280(4.5) = 1960 - 1190 = 770 [/tex]

Our answers are a) 840 and b) 770.

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Purrleon Purrleon · Answer 2 · 2020-09-20T21:07:08+02:00

Answer:

a) 980

b) 770

Step-by-step explanation:

a)

Given: A machine produces 280 appliances per hour, and the total number of appliances produced in x hours can be represented as a function:

f(x)=280x

The number of appliances that can be produced in 3.5 hours is given by:

f(x)=280*3.5=980

Therefore, the number of appliances that can be produced in 3.5 hours is 980.

b)

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

Therefore, there are 770 more appliances produced.