Question

8. Between 1980 and 1990, the population of Naples, Florida increased by

approximately 6000 people per year. In 1980, the population was 80,000 (0,

80,000) Write an equation that gives the population , y, in terms of the year, x.

(Let x=0 correspond to 1980) *

y = 80,000x + 6,000

O

y = 6,000x + 80,000

y = 6,000x + 1980

O

y = 80,000x + 1980

Answer 1

The correct option is B

y = 6,000x + 80,000

Explanation:

Given that between 1980 and 1990, the population of Naples, Florida increased by approximately 6000 people per year. In 1980, the population was 80,000.

This is a linear equation of the form y = mx + c

Here m is the slope = 6,000

And c is the constant value = 80,000.

We then simply have

y = 6,000x + 80,000

Answer 2

y = 6,000x + 80,000

Explanation:

Givens

• The population increased 6000 people per year. (This is the constant ratio of change, because it offers information about the relation between variables).
• In 1980, the population was 80,000. (This is the initial condition, the population at the beginning of the period, that's why is the y-intercept of the function).

We know that the linear form has an explicit form

`y=mx+b`

Where
`m` is the constant ratio of change and
`b` is the y-intercept. Replacing given values, we have

`y=6,000x + 80,000`

Therefore, the right answer is B.