Question

A city manage must predict the population of the city between the years 2000

and 2050 to make plans for new business expansions and housing
developments. To determine the population growth, the city manager will use
the formula y = ab". What do the variables in this formula represent?
&
o
y the population of the city
x the year
b = the population in the year 2000
a = the growth rate
&
o
y the population of the city
x=the time in years since the year 2000
b the growth rate
a the population in year 2000
&
o
y the population of the city
**the time in year since the year 2050
b the number of new businesses and house
as the population in the year 2050
y the population of the city
x 50 years
b the population in the year 2050

Answer 1

Alternative A:

y the population of the city

x the time in years since the years 2000

b = the population in the year 2000

a = the growth rate

Step-by-step explanation:

y is the dependent variable and represents the output of the equation.

x is the independent variable and represents the inputs.

Since the exercise asks for changes in population with the time after 2000, the time after 2000 is the independent variable and the population is the dependent.

Also,

for a equation represented as y = ax + b,

a is the slope of the equation and represents the rate of increase of the variable y.

b is the y-intercept (point (0,b)).

So, from the alternatives, A is correct.