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Math Problems
Algebra 1
Interpret the slope and y-intercept of a linear function
The ground floor of a tower has a very high ceiling, and the residential floors above it each have a constant, smaller, height.
\newline
The table compares the floor number and the height of its ceiling above the ground (in meters). The ground floor is floor
0
0
0
, and floors
1
1
1
and up are the residential floors.
\newline
\begin{tabular}{cc}
\newline
Floor & Height (meters above ground) \\
\newline
\hline
8
8
8
&
31
31
31
.
6
6
6
\\
\newline
15
15
15
&
54
54
54
\\
\newline
22
22
22
&
76
76
76
.
4
4
4
\newline
\end{tabular}
\newline
What is the height of each residential floor?
\newline
meters
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Hiro painted his room. After
3
3
3
hours of painting at a rate of
8
8
8
square meters per hour, he had
28
28
28
square meters left to paint.
\newline
Let
\newline
y
y
y
represent the area (in square meters) left to paint after
\newline
x
x
x
hours.
\newline
Which of the following information about the graph of the relationship is given?
\newline
Choose
1
1
1
answer:
\newline
(A) Slope and
\newline
x
x
x
-intercept
\newline
(B) Slope and
\newline
y
y
y
-intercept
\newline
(C) Slope and a point that is not an intercept
\newline
(D)
\newline
x
x
x
-intercept and
\newline
y
y
y
intercept
\newline
(E)
\newline
y
y
y
-intercept and a point that is not an intercept
\newline
(F) Two points that are not intercepts
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Conrad read a
180
180
180
-page book cover to cover in a single session, at a constant rate. It took him
6
6
6
hours.
\newline
Let
\newline
y
y
y
represent the number of pages left to read after
\newline
t
t
t
hours.
\newline
Which of the following information about the graph of the relationship is given?
\newline
Choose
1
1
1
answer:
\newline
(A) Slope and
\newline
x
x
x
-intercept
\newline
(B) Slope and
\newline
y
y
y
-intercept
\newline
(C) Slope and a point that is not an intercept
\newline
(D)
\newline
x
x
x
-intercept and
\newline
y
y
y
intercept
\newline
(E)
\newline
y
y
y
-intercept and a point that is not an intercept
\newline
(F) Two points that are not intercepts
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A charity organization had to sell
18
18
18
tickets to their fundraiser just to cover necessary production costs. They sold each ticket for
$
45
\$45
$45
. Let
y
y
y
represent the net profit (in dollars) when they have sold
x
x
x
tickets. Which of the following information about the graph of the relationship is given?
\newline
Choose
1
1
1
answer:
\newline
(A) Slope and
x
x
x
-intercept
\newline
(B) Slope and
y
y
y
-intercept
\newline
(C) Slope and a point that is not an intercept
\newline
(D)
x
x
x
-intercept and
y
y
y
intercept
\newline
(E)
y
y
y
-intercept and a point that is not an intercept
\newline
(F) Two points that are not intercepts
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