We can use the first and the last point of the table to find the average rate of change during the 40-minute talk time.
At t=0, the charges are $ 9.95
at t=40, the charges are $12.75
Average rate of change from t=0 to t=40 can be calculated as:
This means, the average rate of change is $0.07, meaning that for each minute of talk time, the monthly bill increases by $0.07. (Option B)
Step-by-step explanation:
domain: x-values
range: y-values
<u>Graph 8</u>:
domain: -2 ≤ x ≤ 4 (the lowest x-value is -2 and the highest is 4)
range: 0 ≤ y ≤ 6 (the lowest y-value is 0 and the highest is 6)
<u>Graph 9</u>:
domain: -∞ ≤ x ≤ 0 (the lowest x-value is negative infinity and the highest is 0)
range: -∞ ≤ y ≤ 0 (the lowest y-value is negative infinity and the highest is 0)
The measure of an exterior angle of triangle is equal to the sum of measures of two interior angles of triangle that are not supplementary with this exterior angles.
In the case of this question this fact sounds as
m∠XBC = m∠BAC + m∠BCA (option 1).
Now if
- m∠XBC=(3p-6)°
- m∠BAC=(p+4)°
- m∠BCA=84°,
then
3p-6=p+4+84 (option 2),
3p-6=p+88 (option 3),
3p-p-6=p-p+88,
2p-6=88 (option 4),
2p-6+6=88+6,
2p=94 (option 5),
p=47.
Then m∠XBC=(3p-6)°=(3·47-6)°=135°.
Answer: m∠XBC=135°.
The answer is $162 for 9 tickets
3.375 more gallons would be needed.