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timofeeve [1]
3 years ago
6

Bethany uses the equation d=3.75h to find the distance, d, she travels while walking for h number of hours. what is the constant

of proportionality between d and h? show your work
Mathematics
1 answer:
Alexeev081 [22]3 years ago
8 0

Answer:

The constant of proportionality between d and h is 3.75

Step-by-step explanation:

The direct proportionality function is called any function in which the dependent variable (y) is obtained by multiplying the independent (x) by a constant value. This type of function is more commonly called a linear function and has an expression of the form:

y=m*x

The value m is a constant called the constant of proportionality or the slope of the line and represents the inclination of the line with respect to the abscissa axis, that is, the x axis. Graphically this linear function is a line with slope m that passes through the origin of coordinates, that is, the point 0 in x and 0 in y, which is the point (0,0).

You know that Bethany uses the equation d=3.75*h to find the distance, d, she travels while walking for h number of hours.  Comparing with the direct proportionality function y = m * x, then y is represented by the distance d, x is represented by the number of hours h and the constant of proportionality or slope m is the number 3.75.

So, <u><em>the constant of proportionality between d and h is 3.75</em></u>

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Answer:

1) 1/10

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Step-by-step explanation:

1)

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Answer:

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Step-by-step explanation:

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<h3>Answer: Choice D.  4x^2 + 20x + 25</h3>

===============================================

Explanation:

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So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.

Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.

-------------

(a+b)^2 = a^2+2ab+b^2

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(2x+5)^2 = 4x^2 + 20x + 25

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