What is the growth factor of the following example? Assume time is measured in the units given.
A city grows by 28% per decade.

The growth factor is A. 0.28 per decade.

Step-by-step explanation:

Step 1; It is given that the city grows by 28% per decade. Now we assign values to get a better understanding. If there were 1,000 people at the start of the decade there would be 1,000 + 28% at the end of the decade = 1000 + 280 = 1,280 at the end of the decade.

Step 2; To calculate the growth factor, we calculate the difference between the present value and the past value and divide it by the past value.

Growth factor = = = . So the growth factor is 0.28 per decade.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

b

step-by-step explanation:

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