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The table below shows the numbers of pages Lenny can read in certain amounts of time.
Lenny's Reading Rate

Time

(minutes)

Pages Read

60
108

90
162

135
243

Based on the table, which equation can be used to determine the number of pages
(p) Lenny can read in
t minutes?
A.
p=1.5 t
B.
p=1.8 t
C.
t=1.5 p
D.
quad I=1.8 p

$4$ . The table below shows the numbers of pages Lenny can read in certain amounts of time. $\newline$ Lenny's Reading Rate $\newline$ \begin{tabular}{|c|c|} $\newline$ \hline \begin{tabular}{c} $\newline$ Time \\ $\newline$ (minutes) $\newline$ \end{tabular} & Pages Read \\ $\newline$ \hline $60$ & $108$ \\ $\newline$ \hline $90$ & $162$ \\ $\newline$ \hline $135$ & $243$ \\ $\newline$ \hline $\newline$ \end{tabular} $\newline$ Based on the table, which equation can be used to determine the number of pages $(p)$ Lenny can read in $t$ minutes? $\newline$ A. $p=1.5 t$ $\newline$ B. $p=1.8 t$ $\newline$ C. $t=1.5 p$ $\newline$ D. $\quad I=1.8 p$

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Find a value using two-variable equations: word problems

Full solution

Q.

4

. The table below shows the numbers of pages Lenny can read in certain amounts of time.

\newline

Lenny's Reading Rate

\newline

\begin{tabular}{|c|c|}

\newline

\hline \begin{tabular}{c}

\newline

Time \\

\newline

(minutes)

\newline

\end{tabular} & Pages Read \\

\newline

\hline

60

&

108

\\

\newline

\hline

90

&

162

\\

\newline

\hline

135

&

243

\\

\newline

\hline

\newline

\end{tabular}

\newline

Based on the table, which equation can be used to determine the number of pages

(p)

Lenny can read in

t

minutes?

\newline

A.

p=1.5 t

\newline

B.

p=1.8 t

\newline

C.

t=1.5 p

\newline

D.

\quad I=1.8 p

Find Rate Calculation: First, let's find the rate at which Lenny reads by dividing the number of pages by the time for each entry in the table. For the first entry: Rate = Pages / Time = $108$ pages / $60$ minutes.
Calculate Rate: Calculate the rate: $108 / 60 = 1.8$ pages per minute.
Check Second Entry: Check the rate with the second entry: Rate = $\frac{162 \text{ pages}}{90 \text{ minutes}}$ .
Calculate Rate: Calculate the rate: $162 / 90 = 1.8$ pages per minute.
Check Third Entry: Check the rate with the third entry: Rate = $\frac{243 \text{ pages}}{135 \text{ minutes}}$ .
Calculate Rate: Calculate the rate: $243 / 135 = 1.8$ pages per minute.
Determine Relationship Equation: Since the rate is consistent across all entries, the equation that represents the relationship between time $t$ and pages read $p$ is $p = 1.8t$ .

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