Smith’s Catering Company prepares and serves food for parties.
• The company charges a base fee of $100.
• The company also charges $18 per person for food.
Which function can be used to find c, the total amount it costs for a party of p people?
Responses
A c = 18p + 118
B c = 100p + 18
C c = 18p + 100
D c = 118p + 18
9 answers
A c = 18p + 118
Two swim teams are selling spirit shirts to raise money.
One team is selling shirts for $8 each and has already raised $160.
The other team is selling shirts for $10 each and has already raised $150.
Which equation can be used to find x, the number of additional shirts each team needs to sell, so that the total amount raised is the same for both teams?
Responses
A 160x + 8 = 150x + 10
B 8x + 150 = 10x + 160
C 8x – 160 = 10x – 150
D 8x + 160 = 10x + 150
One team is selling shirts for $8 each and has already raised $160.
The other team is selling shirts for $10 each and has already raised $150.
Which equation can be used to find x, the number of additional shirts each team needs to sell, so that the total amount raised is the same for both teams?
Responses
A 160x + 8 = 150x + 10
B 8x + 150 = 10x + 160
C 8x – 160 = 10x – 150
D 8x + 160 = 10x + 150
B 8x + 150 = 10x + 160
−6 + 12x = 7x − 10
What value of x makes this equation true?
Responses
A 4/5
B 5/4
C -4/5
D 2/5
What value of x makes this equation true?
Responses
A 4/5
B 5/4
C -4/5
D 2/5
B 5/4
The list shows the maximum flying speeds of the ten fastest birds worldwide.
88, 72, 77, 95, 65, 80, 70, 106, 65, 68
What is the mean absolute deviation of the set of data?
____.
88, 72, 77, 95, 65, 80, 70, 106, 65, 68
What is the mean absolute deviation of the set of data?
____.
First, we calculate the mean of the data set:
Mean = (88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10
Mean = 786 / 10
Mean = 78.6
Next, we calculate the absolute deviations from the mean for each data point:
|88 - 78.6| = 9.4
|72 - 78.6| = 6.6
|77 - 78.6| = 1.6
|95 - 78.6| = 16.4
|65 - 78.6| = 13.6
|80 - 78.6| = 1.4
|70 - 78.6| = 8.6
|106 - 78.6| = 27.4
|65 - 78.6| = 13.6
|68 - 78.6| = 10.6
Now, we find the mean of these absolute deviations:
Mean absolute deviation = (9.4 + 6.6 + 1.6 + 16.4 + 13.6 + 1.4 + 8.6 + 27.4 + 13.6 + 10.6) / 10
Mean absolute deviation = 109.2 / 10
Mean absolute deviation = 10.92
Therefore, the mean absolute deviation of the set of data is 10.92.
Mean = (88 + 72 + 77 + 95 + 65 + 80 + 70 + 106 + 65 + 68) / 10
Mean = 786 / 10
Mean = 78.6
Next, we calculate the absolute deviations from the mean for each data point:
|88 - 78.6| = 9.4
|72 - 78.6| = 6.6
|77 - 78.6| = 1.6
|95 - 78.6| = 16.4
|65 - 78.6| = 13.6
|80 - 78.6| = 1.4
|70 - 78.6| = 8.6
|106 - 78.6| = 27.4
|65 - 78.6| = 13.6
|68 - 78.6| = 10.6
Now, we find the mean of these absolute deviations:
Mean absolute deviation = (9.4 + 6.6 + 1.6 + 16.4 + 13.6 + 1.4 + 8.6 + 27.4 + 13.6 + 10.6) / 10
Mean absolute deviation = 109.2 / 10
Mean absolute deviation = 10.92
Therefore, the mean absolute deviation of the set of data is 10.92.
x y
0 -1
1 3
2 7
3 11
4 15
Which equation matches the function described in the table?
Responses
A y = 4x
B y = x - 1
C y = x + 5
D y = 4x - 1
0 -1
1 3
2 7
3 11
4 15
Which equation matches the function described in the table?
Responses
A y = 4x
B y = x - 1
C y = x + 5
D y = 4x - 1
A y = 4x - 1
1 answer