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Answer :
To solve the problem of calculating the number of brake pads remaining after installing them on a certain number of cars, we can use the function [tex]\( f(x) = 480 - 4x \)[/tex]. Here's how we can understand this step-by-step:
1. Identify the starting quantity:
- Begin with 480 brake pads. This is your total initial amount.
2. Determine the brake pads required per car:
- Each car needs 4 brake pads.
3. Calculate the total brake pads used:
- If you have installed brake pads on [tex]\( x \)[/tex] cars, you will have used [tex]\( 4x \)[/tex] brake pads, because each of the [tex]\( x \)[/tex] cars needs 4 brake pads.
4. Establish the function for remaining brake pads:
- To find out how many brake pads are left after installing them on [tex]\( x \)[/tex] cars, subtract the amount used from the initial total. This gives you the formula:
[tex]\[
f(x) = 480 - 4x
\][/tex]
- Here, [tex]\( f(x) \)[/tex] represents the number of brake pads remaining.
So, by using the function [tex]\( f(x) = 480 - 4x \)[/tex], you can input the value of [tex]\( x \)[/tex] (the number of cars) to find out how many brake pads are left.
1. Identify the starting quantity:
- Begin with 480 brake pads. This is your total initial amount.
2. Determine the brake pads required per car:
- Each car needs 4 brake pads.
3. Calculate the total brake pads used:
- If you have installed brake pads on [tex]\( x \)[/tex] cars, you will have used [tex]\( 4x \)[/tex] brake pads, because each of the [tex]\( x \)[/tex] cars needs 4 brake pads.
4. Establish the function for remaining brake pads:
- To find out how many brake pads are left after installing them on [tex]\( x \)[/tex] cars, subtract the amount used from the initial total. This gives you the formula:
[tex]\[
f(x) = 480 - 4x
\][/tex]
- Here, [tex]\( f(x) \)[/tex] represents the number of brake pads remaining.
So, by using the function [tex]\( f(x) = 480 - 4x \)[/tex], you can input the value of [tex]\( x \)[/tex] (the number of cars) to find out how many brake pads are left.
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