A swimmer is racing to the other side of the pool. The pool is 75 feet long. The swimmer travels 2.5 feet per second. Create a table, equation, and graph to represent the swimmer's distance to the other side of the pool with relation to time. When will the swimmer reach the other side of the pool?
d = Vt.
d = 2.5 * t.
(t, d). t=time in sec. d=dist.in ft.
(0,0)
(4,10)
(6,15)
(10,25)
(14,35)
(18,45)
(22,55)
(26,65)
(30,75)
Use the above data for graphing.
To represent the swimmer's distance to the other side of the pool with relation to time, we can create a table, equation, and graph.
Table:
Time (seconds) | Distance (feet)
0 | 0
1 | 2.5
2 | 5
3 | 7.5
4 | 10
5 | 12.5
6 | 15
7 | 17.5
8 | 20
9 | 22.5
10 | 25
...
Equation:
The equation to represent the swimmer's distance to the other side of the pool with relation to time can be expressed as:
Distance = Speed * Time
Distance = 2.5 * Time
Graph:
The graph will have time (in seconds) on the x-axis and distance (in feet) on the y-axis. The points from the table can be plotted on the graph to visualize the swimmer's progress over time.
When will the swimmer reach the other side of the pool?
To find when the swimmer will reach the other side of the pool, we can use the equation:
Distance = 2.5 * Time
Since the pool is 75 feet long, the swimmer will reach the other side when the distance is equal to 75 feet. Let's solve for Time:
2.5 * Time = 75
Dividing both sides by 2.5, we get:
Time = 30 seconds
Therefore, the swimmer will reach the other side of the pool in 30 seconds.
To create a table, equation, and graph to represent the swimmer's distance, we first need to understand the relationship between the swimmer's distance and time.
Since the swimmer is moving at a constant speed, we can use the formula: distance = speed x time.
In this case, the speed of the swimmer is 2.5 feet per second, and the distance to be covered is 75 feet.
1. Table:
Time (seconds) | Distance (feet)
--------------------------------------
0 | 0
1 | 2.5
2 | 5
3 | 7.5
... | ...
t | 2.5t
2. Equation:
The equation representing the swimmer's distance is: distance = 2.5t.
3. Graph:
On a Cartesian coordinate plane, plot the time (t) on the x-axis and the distance (d) on the y-axis.
The graph will be a straight line with a positive slope of 2.5, passing through the origin.
To determine when the swimmer reaches the other side of the pool:
We can set up an equation using the distance formula and solve for time:
Distance = 75 feet
2.5t = 75
Divide both sides of the equation by 2.5:
t = 75/2.5
t = 30 seconds
Therefore, the swimmer will reach the other side of the pool in 30 seconds.