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.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

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