Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of
1 answer:
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
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Answer:
Step-by-step explanation:
In order to find the equation of this line, we need to note two things.
- A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
- B) We can substitute a point inside an incomplete equation to try and find a missing value.
So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.
- <u>Reciprocal of 7:</u>
- <u>Opposite of </u>
:
So the slope of this line will be . The y-intercept will change, and we can substitute what we know into the equation
.
Now, we can substitute a point on the graph (14, 8) into this equation to find b.
Now that we know the y-intercept, we can finish off our equation by plugging that in.
Hope this helped!