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3 years ago

How do the constant of proportionality and slope relate to the unit rate

Mathematics

1 answer:

Pepsi [2]3 years ago

7 0

Answer:

When a relationship is proportional, all y over x ratios simplify to the slope of the line which is the constant of proportionality or the unit rate, with one as a denominator. Example: Consider the equation y = 60x. The slope is 60. The rate of change is 60 units for every one unit.

Step-by-step explanation:

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If 3 to the power y = x then y = ?

Oksanka [162]

Answer:

$y=\log_3(x)$

Step-by-step explanation:

$3^y=x$

$\ln(3^y)=\ln(x)$

$y\ln(3)=\ln(x)$

$y=\frac{\displaystyle\ln(x)}{\displaystyle\ln(3)}$

but if

$f(x)=\frac{\displaystyle\ln(x)}{\displaystyle\ln(3)}$

then since

$f(3)=\frac{\displaystyle\ln(3)}{\displaystyle\ln(3)}=1$

$f(x)=\log_3(x)$

$y=\log_3(x)$

$3^y=x$

$\log_3(3^y)=\log_3(x)$

$y\log_3(3)=\log_3(x)$

$\text{but }\,\log_3(3)=1, \text{so,}$

$y=\log_3(x)$

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3 years ago

Find the slope of the line between the points (1, 4) and (-1,6)

Oduvanchick [21]

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 1, 6)

m = $\frac{6-4}{-1-1}$ = $\frac{2}{-2}$ = - 1

6 0

3 years ago

Which functions are nonlinear? Select TWO that apply.

Annette [7]

Answer:

A,B

Step-by-step explanation:

I think bc I had the same question well something like this in A in B was it

8 0

3 years ago

10 POINTS Math unit 5.11! PLEASE HELP

agasfer [191]

To write the function to show the weekly growth rate of population , we first find the weekly growth rate by dividing yearly growth rate by 52 ( as there are 52 weeks in an year)

Given function is ,

$P=120(1.016)^t$