Exponential Growth Functions Answers

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What is the value of y in the solution to the system of equations?x + y = 12x – 3y = –30

Question illustration
A
–8
B
–3
C
3
D
8
2
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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

Question illustration
A
y > x – 2 and x – 2y < 4
B
y > x + 2 and x + 2y < 4
C
y > x – 2 and x + 2y < 4
D
y > x – 2 and x + 2y < –4
3

A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative 2.7, 2.1), and (0, 3.5). The second line is labeled y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction and passes through the points (negative 4, 3), (negative 2.7, 2.1), and (StartFraction 1 over 3 EndFraction, 0).

Question illustration
A
(–2.7, 2.1)
B
(–2.1, 2.7)
C
(2.1, 2.7)
D
(2.7, 2.1)
4

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?First equation: 4x − 3y = 34Second equation: 3x + 2y = 17

A
The first equation should be multiplied by 2 and the second equation by 3.
B
The first equation should be multiplied by 2 and the second equation by −3.
C
The first equation should be multiplied by 3 and the second equation by 4.
D
The first equation should be multiplied by 3 and the second equation by −4.
5

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2), and (1, negative 1). Everything to the right of the line is shaded.

Question illustration
A
(0, 2)
B
(2, 0)
C
(1, −2)
D
(−2, 1)
6

The function f(x) is to be graphed on a coordinate plane.f(x) = At what point should an open circle be drawn?

Question illustration
A
(–1, 0)
B
(0, 0)
C
(0, 1)
D
(1, 0)
7

Which graph represents a function with direct variation?

A
Option
B
Option
C
Option
D
Option
8

What is the solution to this system of linear equations?7x – 2y = –68x + y = 3

A
(–6, 3)
B
(0, 3)
C
(1, –5)
D
(15, –1)
9

What is the solution to this system of linear equations?x + y = 4x − y = 6

A
(4, 6)
B
(6, 4)
C
(5, −1)
D
(−1, 5)
10

Which value of m will create a system of parallel lines with no solution?y=mx-68x-4y=12

Question illustration
A
-2
B
-
Option B
C
Option
Option C
D
2
11

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

Question illustration
A
4.9
Option A
B
9.8
Option B
C
10.2
Option C
D
19.6
Option D
12

Which ordered pairs make both inequalities true? Select two options. y x + 1 (–1, 3)(0, 2) (1, 2)(2, –1)(2, 2)

Question illustration
A
(–1, 3)
B
(0, 2)
C
(1, 2)
D
(2, –1)
E
(2, 2)
13

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.

Question illustration
A
y < x + 3
Option A
B
y > x + 3
Option B
C
y > x + 3
Option C
D
y < x + 3
Option D
14

Two linear equations are shown.

Question illustration
A
(7, 4)
B
(7, StartFraction 13 over 3 EndFraction)
Option B
C
(8, StartFraction 14 over 3 EndFraction)
Option C
D
(9, 7)
15

The graph of a function is shown.

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
16

What is the solution to the system of equations?y = –5x + 3y = 1

A
(0.4, 1)
B
(0.8, 1)
C
(1, 0.4)
D
(1, 0.8)
17

The graph represents the cost of a subscription to a newspaper.

Question illustration
A
$1.50
B
$7.50
C
$15.00
D
$30.00
18

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1.3) and (3, negative 0.3). Everything below and to the right of the line is shaded.

Question illustration
A
y ≤ x – 1.3
Option A
B
y ≤ x –
Option B
C
y ≥ x –
Option C
D
y ≥ x – 1.3
Option D
19

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.

Question illustration
A
y<−2x+2
B
y>−2x+2
C
y<2x−2
D
y>2x−2
20

Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar per loaf of bread and 0.75 cup of sugar per batch of muffins. Helena has 17 cups of flour and 4.5 cups of sugar available for baking.

A
2 loaves of bread and 4 batches of muffins
B
3 loaves of bread and 3 batches of muffins
C
4 loaves of bread and 2 batches of muffins
D
5 loaves of bread and 1 batch of muffins

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