# Consistent and Dependent Functions and Graphing

. Determine whether the system is consistent, inconsistent, or dependent.

3x + 2y = 15

6x + 4y = 30 (Points : 1)

Consistent

Dependent

Inconsistent

7. Carla invested $23,000, part at 16% and part at 15%. If the total interest at the end of the year is $3,500, how much did she invest at 16%? (Points : 1)

$4,000

$18,000

$6,000

$5,000

8. Find the coordinates of the x-intercept.

2x + y = -6 (Points : 1)

(-6, 0)

(0, -3)

(0, -6)

(-3, 0)

9. Determine whether the system is consistent, inconsistent, or dependent.

3x - 3y = -9

9x - 9y = -27 (Points : 1)

Consistent

Dependent

Inconsistant

10. The amount of revenue a company makes per day by selling x items is given by the function f(x) = 14x - 0.2x2. How many items should be sold if the company wants to maximize their profit? (Points : 1)

30 items

35 items

70 items

40 items

11. Find the domain and range of the relation, and state whether or not the relation is a function.

{(7, 2), (8, 2), (9, 2), (10, 2)} (Points : 1)

Domain = {2}, Range = {7, 8, 9, 10}

The relation is not a function.

Domain = {2}, Range = {7, 8, 9, 10}

The relation is a function.

Domain = {7, 8, 9, 10}, Range = {2}

The relation is not a function.

Domain = {7, 8, 9, 10}, Range = {2}

The relation is a function.

12. Write the equation in the slope-intercept form.

4x - 10y = 11 (Points : 1)

y = 2/5x - 11

y = -2/5x + 11/10

y = -2/5x + 11

y = 2/5x - 11/10

#### Solution Preview

. Determine whether the system is consistent, inconsistent, or dependent.

3x + 2y = 15

6x + 4y = 30 (Points : 1)

Consistent

Dependent

Inconsistent

This is dependent because they are the same line, so infinite number of solutions

7. Carla invested $23,000, part at 16% and part at 15%. If the total interest at the end of the year is $3,500, how much did she invest at 16%? (Points : 1)

$4,000

$18,000

$6,000

$5,000

We can set up a system of equations ...

#### Solution Summary

Herein are solutions to a variety of algebra problems associated with consistent functions, graphing, and interest. Full work is shown when necessary, and explanations are given.