Line of Best Fit Answers

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The graph shows the relationship between the amount of change given from a $10 bill and the number of bagels purchased.

Question illustration
A
f(x) = + 10
Option A
B
f(x) = + 10
Option B
C
f(x) = + 10
Option C
D
f(x) = + 10
Option D
2
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A pattern of rectangles is formed by decreasing the length and increasing the width, each by the same amount. The relationship between x, the amount of increase, and A, the area of the rectangle represented by the increase, is quadratic.Which graph could represent the area of each rectangle in terms of the change in the length and width?

A
A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A straight line decreases from 0 to 9 units.
Option A
B
A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A line decreases from 0 to 3 units, increases from 3 to 6 seconds, and decreases from 6 to 9 seconds.
Option B
C
A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A line increases from 0 to 3 seconds then decreases from 3 to 9 seconds.
Option C
D
A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A curved line decreases from 0 to 9 units.
Option D
3

The half life of a certain substance is about 4 hours. The graph shows the decay of a 50 gram sample of the substance that is measured every hour for 9 hours.

Question illustration
A
y = 25(0.15)t
B
y = 25(0.85)t
C
y = 50(0.15)t
D
y = 50(0.85)t
4

The speed of a falling object increases at a constant rate as time increases since the object was dropped. Which graph could represent the relationship between t, time in seconds, and s, speed in meters per second?

A
A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line increases from 0 to 10 seconds.
Option A
B
A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line decreases from 0 to 4 seconds.
Option B
C
A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line increases from 0 to 4.5 seconds.
Option C
D
A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line decreases from 1 to 9 seconds.
Option D
5

The graph shows the relationship between a gift card balance and the number of visits to a smoothie shop.

Question illustration
A
$18.00
B
$4.00
C
$3.00
D
$6.00
6

The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. Iron has a half-life of 2.7 years. Which equation gives the mass of a 200 mg iron sample remaining after t years, and approximately how many milligrams remain after 12 years?

Question illustration
A
; 2.6 mg
Option A
B
f(t)=2.7(0.5)t; 0.0007 mg
C
f(t)=200(0.5)t; 0.05 mg
D
; 9.2 mg
Option D
7

The graph represents the expected hourly revenue, in dollars, y, earned by a car wash for each decrease of x dollars in the price of a car wash.

Question illustration
A
$100
B
$150
C
$200
D
$225
8

Cherie measures and records the lengths and sizes of the same style of a sandal found at a shoe store.

Question illustration
A
S = x – 2
B
S = 2x – 10
C
S = x + 6
D
S = 2x + 4
9

Brandon enters a contest at the gym. He earns 1 point for his first workout. If he works out the next day, he earns double the points of the previous day. Brandon creates the graph to show the number of points that can be earned on the nth consecutive day of working out.

Question illustration
A
8
B
32
C
64
D
128
10

The graph shows the population of a bacteria in an experiment, measured every hour.

Question illustration
A
f(t) = 10(1.4)t
B
f(t) = 10(2.0)t
C
f(t) = 14(1.4)t
D
f(t) = 14(2.0)t

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