Answer:
Step-by-step explanation:
First we are going to find the function which models the height of the
periscope lens at time t.
Let the 2 be height of the periscope.
The height of the periscope at the beginning is 24 inches. It ascends at 6
inches per second. The expression which describes how much it has raised,
at the moment, is 6t.
The function is sum of beginning height and how much it has raised, 2 = 24 + 6t.
To find maximum height of the periscope, we need to evaluate function
for + = 22.
2 = 24 + 6(22)
= 24 + 132
156
Substitute 22 for t.
Multiply.
Maximum height in inches is 156.
We know that 1 foot is 12 inches.
So the function that describes converting feet to inch is y :
= 12x. Where y
represents number of inches and a number of feet.
U = 12.2
156
12x
12
-n=
156
12
2 = 13
Substitute 156 for y.
Divide both sides by 12.
Maximum height in feet is 13.
