Question

1. Does the table represent values of a function? Explain.

Input
Output
Input, x
10
2. Consider the table shown.
Output, y
32
0
-10
20
64
15
10
64
10
40
30
96
20
90
40
64
50
32
30
a.
Complete the table to include values of a function represented by the equation y = 5x - 10.
b. If the table included the input value 55, what output would you expect the rule to assign?
a

Answer 1

Answer: if the input value 55 were included in the table, we would expect the rule to assign an output value of 265. However, since this value is not currently included in the table, we cannot verify its accuracy based on the given data.

Step-by-step explanation: a. To complete the table using the equation y = 5x - 10, we can substitute each input value of x into the equation and solve for the corresponding output value of y:

Input, x Output, y

10 40

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2 | 0

-10 | -60

20 | 90

64 | 310

15 | 65

10 | 40

64 | 310

10 | 40

40 | 190

30 | 140

96 | 470

20 | 90

90 | 440

40 | 190

64 | 310

50 | 240

32 | 150

30 | 140

b. If the table included the input value 55, we can use the same equation to find the corresponding output value:

y = 5x - 10

y = 5(55) - 10

y = 275 - 10

y = 265

Therefore, if the input value 55 were included in the table, we would expect the rule to assign an output value of 265. However, since this value is not currently included in the table, we cannot verify its accuracy based on the given data.