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A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If \(x\) pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by [tex]f(x) = 20x + 4[/tex].

What is the range of the function for this situation?

A. \(\{0, 1, 2, 3, 4, 5, 6\}\)
B. \(\{14, 24, 44, 64, 84, 104, 124\}\)
C. \(\{0, 2, 4, 6\}\)
D. \(\{4, 44, 84, 124\}\)

Answer :

The range of the function for this situation is B . { 4 , 24 , 44 , 64 , 84 , 104 , 124 } .

Given :

The maximum accommodation of plates in a set is 6 pairs, which includes the weight of a barbell (4 lb).

Each pair of plates weigh 20 lb

we have f(x)=20x+4

Now, we can proceed with no. of plates (in pair) from 0(selecting no plates at all) - 6(maximum pair of plates).

when the number of plates=0, here x=0

f(0)=20×0+4 = 4

similarly, when x= 1

f(1) =20×1+4 =24

f(2),f(3),f(4),f(5) and

f(6)=20×6+4 =124

Hence range = { 4 , 24 , 44 , 64 , 84 , 104 , 124 } .

Learn more about the function here:

https://brainly.com/question/5975436

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