Given:
A linear function r models the growth of your right index fingernail.
The length of the fingernail increases 0.7 millimeter every week.
r(0)=12
To find:
The slope of linear function.
Solution:
Slope of a linear function is the change in output value for each unit of input value.
In the linear function r models the growth of your right index fingernail. It means the input value is number of weeks and output value is your right index fingernail.
r(0)=12
It means, the initial value or y-intercept of the linear function is 12.
The length of the fingernail increases 0.7 millimeter every week.
Therefore, the slope of the linear function is 0.7.
The graph of the function that have a constant increase rate is a linear
graph
Reason:
The given function, r, models: The index finger growth
The rate at which the length of the fingernail increases each week = 0.7 mm
The value of r(0) = 12
Required:
The graph of the given function
Solution:
The value of r(0) = 12 gives the y-intercept of the graph
The rise and run of the can be taken as the increase of fingernail at 0.7 mm/week
Therefore, the function, r, is r = 0.7·t + 12
Where;
t = The number of weeks
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