The table below shows the taxi fare in a city. For the first 3 miles
$10 total
For every additional mile
$4 per mile
Mr. Jack took a taxi from his home to his company. He had to
pay $34 for the taxi fare. What is the distance between Mr.
Jack's home and his company?
miles

The answer is below

Step-by-step explanation:

a) From 0 to 2 seconds the height of the balloon increases from 26 to 34 feet, the balloons height is increasing during the interval [0, 2]

b) From 2 to 4 seconds the height of the balloon remains the same at 34 feet, therefore the balloons height is the same during the interval (2, 4]

c) From 4 to 8 seconds the height of the balloon decreases from 34 to 30 feet while from 8 to 10 seconds the balloons height decreases from 30 to 0 feet. The balloons height is decreasing the fastest during the interval (8, 10]

d) At 10 seconds the balloon is 0 feet, this means it has landed on the ground, it would continue to be on the ground until it is thrown up again, therefore at 14 second the height of the balloon would be 0 feet (on the ground).