The table below shows selected points from a function.
1 answer:
Answer:
The rate of change for the interval shown in the table is 1 , so the function is a linear function.
Step-by-step explanation:
See the table attached.
The table shows selected points from a function.
Now, the given interval is x = 1 to x = 4.
For, x = 1, f(x) = 2 and for x = 4. the function f(x) = 5.
Therefore, the rate of change for the interval shown in the table i.e slope of the line is and it is constant throughout the interval so the function is a linear function. (Answer)
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Answer:
The function describes the motorboat's distance from the shore
Step-by-step explanation:
A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore
After 9 minutes, it is 14 km from the shore.
So, rate of change =
Negative sign shows that there is decrease in distance per minute
The rate of change of distance is 4 km / minutes
General equation : y = mx+c
Where m is the slope and c is the constant
Substitute the values in the equation :
y=-4x+50
Where y is the final distance and x is the minutes
So, Option C is true
Hence The function describes the motorboat's distance from the shore