Which data set is best described by the function y = -2x2 + 17x – 33?

  1. x
    y
    -4
    -133
    -1
    -75
    2
    -7
    3
    3
    6
    -3
  2. x
    y
    -5
    -168
    -3
    -102
    1
    -15
    4
    2
    6
    -3
  3. x
    y
    -3
    -102
    -1
    -52
    2
    -7
    3
    0
    5
    2
  4. x
    y
    -2
    -75
    2
    -18
    5
    3
    6
    -3
    8
    -25

A. Incorrect. Substitute x = -1 into the function, then y = -52.

B. Incorrect. Substitute x = 1 into the equation, then y = -18.

C.
Correct! These are the ordered pairs that make the equation true.

D.
Incorrect. Substitute x = 2 into the equation, then y = -7

Which mapping best represents the function y = x2 + 2 when the replacement set for x is {-1, 0, 3}?

A.
Incorrect. When x = 3, y = 11.

B.
Incorrect. When x = -1, y = 3.

C.
Incorrect. The x- and y-coordinates are switched.

D.
Correct! This mapping represents the correct matching of the x-values and y-values.

The function f(x) = {(1,3), (2,6), (3,9), (4,12)} can be represented in several other ways. Which is NOT a correct representation of the function f(x)?

  3. x is a natural number less than 5 and y is three times as much as x
  4. y = 3x and the domain is {1,2,3,4}

A.
Correct! You noticed that the ordered pairs are not graphed correctly.

B.
Incorrect. Remember you are looking for a representation that does NOT match the function.

C.
Incorrect. Remember you are looking for a representation that does NOT match the function.

D.
Incorrect. Remember you are looking for a representation that does NOT match the function.

Elsa received a gift card for $35 worth of miniature golf games at Celebration Station. If the cost of each miniature golf game is $3.50, which table best represents b, the balance remaining on the gift card after she plays g games of miniature golf?

  1. n
    b
    0
    $35
    1
    $31.50
    2
    $28
    4
    $21
    6
    $14
  2. n
    b
    0
    $35
    2
    $31.50
    4
    $28
    6
    $24.50
    8
    $21
  3. n
    b
    1
    $31.50
    2
    $28
    3
    $25.50
    4
    $21
    5
    $17.50
  4. n
    b
    0
    $35
    1
    $28
    4
    $21
    6
    $14
    8
    $7

A.
Correct! The data in the table matches the description given in the problem.

B.
Incorrect. The balance remaining after playing 2 rounds of miniature golf would be $28. $35 – 2($3.50) = $28.

C.
Incorrect. The balance remaining after playing 3 rounds of miniature golf would be $24.50. $35 – 3($3.50) =$ 24.50.

D.
Incorrect. The balance remaining after playing 1 round of miniature golf would be $31.50 $35 – 1($3.50) = $31.50.