EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for
m. Cody’s work in shown. Identify any errors and correct them
1 answer:
Answer:
Cody made a mistake when calculating the slope of the line and this affected every other steps after than.
She divided -3 by 6 instead of -3 by 1/6
Step-by-step explanation:
Given
<em>See attached for steps</em>
Required
Explain Cody's error
<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>
See Proof
Slope (m) is calculated as thus:
This is in contrast to , calculated by Cody
Solving further to determine the equation.
Where
Collect Like Terms
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The graph is attached.
We first graph the point where his catch reached the surface, (35, 0). Since it travels upward at a constant rate, the graph will be linear. We also need to know where it starts (what depth it is at when he begins reeling it in). We can use the formula d=rt as a template for our function. d would be distance (in our case, depth), r is the rate (speed) and t is the amount of time.
To find how far the catch had to travel to reach the surface, we set up our equation as:
d = 0.1(35)
This will tell us how much distance it traveled in 35 seconds. 0.1(35)=3.5, so the catch started 3.5m under water. It then travels up at 0.1 m per second.
We first graph the point where his catch reached the surface, (35, 0). Since it travels upward at a constant rate, the graph will be linear. We also need to know where it starts (what depth it is at when he begins reeling it in). We can use the formula d=rt as a template for our function. d would be distance (in our case, depth), r is the rate (speed) and t is the amount of time.
To find how far the catch had to travel to reach the surface, we set up our equation as:
d = 0.1(35)
This will tell us how much distance it traveled in 35 seconds. 0.1(35)=3.5, so the catch started 3.5m under water. It then travels up at 0.1 m per second.