
Concept explainers
a.
To make a table showing the height of seaweed at 4,6.5,9,11.5,14 and 16.5 seconds.
a.

Explanation of Solution
Given:
At time t=4 seconds, the highest point was 16 feet. The wheel’s diameter is 18 feet and it completes its revolution every 10 second.
Calculation:
The following is the equation that represents the situation-
y=asinb(t−h)+ka=16.5−16.5+42=16.5−6.25=10.2510=2π|b|b=±π5y=asinb(t−h)+ky=10.25sinπ5(t−0)+6.25y=10.25sinπ5t+6.25
The following is the table-
Time (in Seconds) | Height (in feet) |
4 | 30.3 |
6.5 | 45.4 |
9 | 60.4 |
11.5 | 75.5 |
14 | 90.5 |
16.5 | 105.6 |
b.
To make the graph of the function.
b.

Explanation of Solution
Given:
There graph of the
Calculation:
The graph of the equation y=10.25sinπ5t+6.25 is given below-
Chapter MPS Solutions
Algebra 2
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