A linear function r models the growth of your right index fingernail. The length of the fingernail increases 0.7 millimeter every week. Graph r when r(0)=12 Identify the slope

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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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.

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