Use the graph below to answer the question that follows.
A graph titled 'Remote-Control Car' shows 'Time' in seconds from 0 to 10 on the x-axis and 'Speed' in miles per hour from 0 to 10 on the y-axis.
A line segment connects left-parenthesis 0 comma 4 right-parenthesis and left-parenthesis 3 comma 2 right-parenthesis.
A second line segment connects left-parenthesis 3 comma 2 right-parenthesis to left-parenthesis 4 comma 6 right-parenthesis.
A horizontal line segment connects left-parenthesis 4 comma 6 right-parenthesis to the point left-parenthesis 10 comma 6 right-parenthesis.
Which statement describes the speed of the remote-control car over time?
A. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.
B. The speed of the car increases from 4 mi/h to 2 mi/h in the first 3 seconds, decreases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.
C. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 6 mi/h in the next second, and then remains at 6 mi/h for the last 6 seconds.
D. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 5 seconds, and then remains at 5 mi/h for the last 10 seconds.
B. The speed of the car increases from 2 mi/h to 4 mi/h in the first 3 seconds, decreases to 2 mi/h in the next second, and then remains at 6 mi/h for the last 6 seconds.
Given the function rule f(x) = x² – 3x + 2, what is the output of f(–2)?
A. –8
B. 0
C. 4
D. 12
D. 12
Suppose you earn $15 for each car you wash. Which function describes the relationship between your total earnings E and the number of cars you wash, c?
A. E(c) = c + 15
B. E(c) = 15c
C. c = 15E
D. E(c) = c – 15
B. E(c) = 15c
The data in the table illustrate a linear function.
x 0 2 4 6
y –5 –2 1 4
What is the slope of the linear function? Which graph represents the data?
A. –two-thirds; Four points are graphed on a coordinate plane. A line connects the four points and continues on in both directions.The points graphed on the coordinate plane are left-parenthesis negative 5 comma 0 right-parenthesis, left-parenthesis negative 2 comma 2 right-parenthesis, left-parenthesis 1 comma 4 right-parenthesis, and left-parenthesis 4 comma 6 right-parenthesis.
B. start fraction 3 over 2 end fraction; Four points are graphed on a coordinate plane. A line connects the four points and continues on in both directions.The points graphed on the coordinate plane are left-parenthesis 0 comma negative 5 right-parenthesis, left-parenthesis 2 comma negative 2 right-parenthesis, left-parenthesis 4 comma 1 right-parenthesis, and left-parenthesis 6 comma 4 right-parenthesis.
C. two-thirds; Four points are graphed on a coordinate plane. A line connects the four points and continues on in both directions.The points graphed on the coordinate plane are left-parenthesis negative 5 comma 0 right-parenthesis, left-parenthesis negative 2 comma 2 right-parenthesis, left-parenthesis 1 comma 4 right-parenthesis, and left-parenthesis 4 comma 6 right-parenthesis.
D. –start fraction 3 over 2 end fraction; Four points are graphed on a coordinate plane. A line connects the four points and continues on in both directions.
B. slope = (1 - (-5))/(4 - 0) = 3/2.
The graph that represents the data is: Four points are graphed on a coordinate plane. A line connects the four points and continues on in both directions.The points graphed on the coordinate plane are left-parenthesis 0 comma negative 5 right-parenthesis, left-parenthesis 2 comma negative 2 right-parenthesis, left-parenthesis 4 comma 1 right-parenthesis, and left-parenthesis 6 comma 4 right-parenthesis.
Question 9 of 19
Which hill described in the table is the steepest and why?
Street
Horizontal Distance (ft)
Vertical Rise of Street (ft)
Dixie Hill
60
20
Bell Hill
60
40
Liberty Hill
60
30
A. Bell Hill; it rises two-thirds foot for every 1 foot of horizontal travel.
B. Dixie Hill; it rises 1 foot for every 3 feet of horizontal travel.
C. Bell Hill; it rises 3 feet for every 2 feet of horizontal travel.
D. Liberty Hill; it rises 2 feet for every 1 foot of horizontal travel.
9 / 19
8 of 19 Answered
C. Bell Hill; it rises 3 feet for every 2 feet of horizontal travel. It has the steepest slope (rise over run) among the three hills.
Question 10 of 19
Which graph represents the linear function y = start fraction 1 over 4 end fractionx – 3?
A. A line on a graph passes through the points left-parenthesis negative 4 comma negative 4 right-parenthesis left-parenthesis zero comma negative 3 right-parenthesis left-parenthesis 4 comma negative 2 right-parenthesis.
B. A line on a graph passes through the points left-parenthesis negative 4 comma negative 2 right-parenthesis left-parenthesis zero comma negative 3 right-parenthesis left-parenthesis 4 comma negative 4 right-parenthesis.
C. A line on a graph passes through the points left-parenthesis zero comma negative 3 right-parenthesis left-parenthesis 1 comma 1 right-parenthesis left-parenthesis 2 comma 5 right-parenthesis.
D. A line on a graph passes through the points left-parenthesis negative 4 comma 2 right-parenthesis left-parenthesis zero comma 3 right-parenthesis left-parenthesis 4 comma 4 right-parenthesis.
10 / 19
9 of 19 Answered