함수 전체 문제

For the following exercise, consider this scenario: In 2004, a school population was 1,700. By 2012 the population had grown to 2,500.

Assume the population is changing linearly.

• ⓐHow much did the population grow between the year 2004 and 2012?
• ⓑWhat is the average population growth per year?
• ⓒFind an equation for the population, P, of the school t years after 2004.

For the following exercises, consider this scenario: In 2000, the moose population in a park was measured to be 6,500. By 2010, the population was measured to be 12,500. Assume the population continues to change linearly.

Find a formula for the moose population, $P$.

For the following exercises, consider this scenario: In 2000, the moose population in a park was measured to be 6,500. By 2010, the population was measured to be 12,500. Assume the population continues to change linearly.

What does your model predict the moose population to be in 2020?

For the following exercises, consider this scenario: The median home values in subdivisions Pima Central and East Valley (adjusted for inflation) are shown in (the referenced table). Assume that the house values are changing linearly.

Year	Pima Central	East Valley
1970	32,000	120,250
2010	85,000	150,000

In which subdivision have home values increased at a higher rate?

For the following exercises, consider this scenario: The median home values in subdivisions Pima Central and East Valley (adjusted for inflation) are shown in (the referenced table). Assume that the house values are changing linearly.

Year	Pima Central	East Valley
1970	32,000	120,250
2010	85,000	150,000

If these trends were to continue, what would be the median home value in Pima Central in 2015?

Determine whether the following algebraic equation can be written as a linear function. $2x+3y=7$

Determine whether the following function is increasing or decreasing. $f(x)=-2x+5$

Determine whether the following function is increasing or decreasing. $f(x)=7x+9$

Find a linear equation that passes through (5, 1) and (3, –9), if possible.

Find a linear equation, that has an x intercept at (–4, 0) and a y-intercept at (0, –6), if possible.

Find the slope of the line in (the referenced figure).

Write an equation for line in (the referenced figure).

Does (the referenced table) represent a linear function? If so, find a linear equation that models the data.

Does (the referenced table) represent a linear function? If so, find a linear equation that models the data.

At 6 am, an online company has sold 120 items that day. If the company sells an average of 30 items per hour for the remainder of the day, write an expression to represent the number of items that were sold $n$ after 6 am.

For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular.

$\begin{array}{c}y=\frac{3}{4}x-9 \\ -4x-3y=8\end{array}$

For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular.

$\begin{array}{c}-2x+y=3 \\ 3x+\frac{3}{2}y=5\end{array}$

For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular.

Find the x- and y-intercepts of the equation $2x+7y=-14.$

For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular.

Given below are descriptions of two lines. Find the slopes of Line 1 and Line 2. Is the pair of lines parallel, perpendicular, or neither?

Line 1: Passes through $(-2,-6)$ and $(3,14)$

Line 2: Passes through $(2,6)$ and $(4,14)$

For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular.

Write an equation for a line perpendicular to $f(x)=4x+3$ and passing through the point $(8,10).$