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Allushta [10]
3 years ago
9

The table shows the values of y for each value of x. x y 2 1 3 1 4 -3 3 -3 Part A: Does the table represent a relation that is a

function? Justify your answer by using the values shown in the table. (4 points) Part B: The function f(h) shown below represents Kylie's total earning from working in a cafe for h hours of work. f(h) = 15h + 5 Calculate and interpret the meaning of f(8)? Part C: Write an ordered pair to represent the input and output of the function in Part B when Kylie works for r hours.
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0
Part A:

The given values in form of ordered pairs are:
(2,1), (3,1), (4,-3), (3,-3)

A relation can be a function if one value of x is paired with exactly one value of y. In this case, x value of 3 is paired with two y values 1 and -3. So this relation is not a function.

Part B:

f(h) = 15h + 5
f(8) can be found by substituting h=8 in above equation. 
So,
f(8) = 15(8) + 5 = 125
h represents the number of hours and f(h) represents the earnings of Kylie. So f(8) shows that Kylie earned $125 from 8 hours of work in the cafe

Part C:

For r hours of work, we can write:
f(r) = 15r + 5
So, the ordered pair can represent this relation as:
(r, f(r))
or
(r, 15r+5)
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(a-1) 22 rookies receiving a rating of 4 or better.

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(b-1) Constructed below in explanation.

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Step-by-step explanation:

We are provided the rating of Fifty pro-football rookies on a scale of 1 to 5 based on performance at a training camp as well as on past performance.

The frequency distribution constructed is given below:

 Rating          Frequency

     1                       4

     2                     10       where ranking of 1 indicate a poor prospect whereas

     3                     14         ranking of 5 indicate an excellent prospect.

     4                     18

     5                      4

(a-1) Rookies receiving a rating of 4 or better = Rating of 4 + Rating of 5

       So, by seeing the frequency distribution 18 rookies received a rating of

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Hence, Rookies receiving a rating of 4 or better = 18 + 4 = 22 rookies.

(a-2) Number of rookies received a rating of 2 or worse = Rating of 2 +

                                                                                                 Rating of 1

     So, by seeing the frequency distribution 10 rookies received a rating of

      2 and 4 rookies received a rating of 1.

Hence, Rookies receiving a rating of 2 or worse = 10 + 4 = 14 rookies.

(b-1) Relative Frequency is calculated as = Each frequency value /

                                                                         Total Frequency

   Rating        Frequency(f)        Relative Frequency

     1                       4                          4 / 50 = 0.08

     2                     10                         10 / 50 = 0.2

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     5                   <u>   4    </u>                       4 / 50  = 0.08

                     \sum f<u>= 50 </u>                

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Therefore, 8% of total rookies received a rating of 5.

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