We appreciate your visit to Jada and Zeke compare their monthly text message plans Jada s plan costs tex 5 tex plus an additional tex 0 05 tex per text. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find out how many text messages Jada and Zeke each sent in a month when they paid the same amount, we can set up the equations based on their plans.
1. Jada's Plan:
The cost [tex]\( c \)[/tex] in dollars is given by the equation:
[tex]\[
c = 0.05t + 5
\][/tex]
where [tex]\( t \)[/tex] is the number of texts sent.
2. Zeke's Plan:
The cost [tex]\( c \)[/tex] in dollars is given by the equation:
[tex]\[
c = 0.10t
\][/tex]
where [tex]\( t \)[/tex] is the number of texts sent.
We need to find the number of texts [tex]\( t \)[/tex] that makes the costs of both plans equal. Therefore, we set the two cost equations equal to each other:
[tex]\[
0.05t + 5 = 0.10t
\][/tex]
Next, we solve for [tex]\( t \)[/tex]:
1. Subtract [tex]\( 0.05t \)[/tex] from both sides of the equation to combine like terms:
[tex]\[
5 = 0.10t - 0.05t
\][/tex]
2. Simplify the right side of the equation:
[tex]\[
5 = 0.05t
\][/tex]
3. To solve for [tex]\( t \)[/tex], divide both sides by [tex]\( 0.05 \)[/tex]:
[tex]\[
t = \frac{5}{0.05}
\][/tex]
4. Calculate the value of [tex]\( t \)[/tex]:
[tex]\[
t = 100
\][/tex]
So, Jada and Zeke each sent 100 text messages in one month to pay the same amount.
1. Jada's Plan:
The cost [tex]\( c \)[/tex] in dollars is given by the equation:
[tex]\[
c = 0.05t + 5
\][/tex]
where [tex]\( t \)[/tex] is the number of texts sent.
2. Zeke's Plan:
The cost [tex]\( c \)[/tex] in dollars is given by the equation:
[tex]\[
c = 0.10t
\][/tex]
where [tex]\( t \)[/tex] is the number of texts sent.
We need to find the number of texts [tex]\( t \)[/tex] that makes the costs of both plans equal. Therefore, we set the two cost equations equal to each other:
[tex]\[
0.05t + 5 = 0.10t
\][/tex]
Next, we solve for [tex]\( t \)[/tex]:
1. Subtract [tex]\( 0.05t \)[/tex] from both sides of the equation to combine like terms:
[tex]\[
5 = 0.10t - 0.05t
\][/tex]
2. Simplify the right side of the equation:
[tex]\[
5 = 0.05t
\][/tex]
3. To solve for [tex]\( t \)[/tex], divide both sides by [tex]\( 0.05 \)[/tex]:
[tex]\[
t = \frac{5}{0.05}
\][/tex]
4. Calculate the value of [tex]\( t \)[/tex]:
[tex]\[
t = 100
\][/tex]
So, Jada and Zeke each sent 100 text messages in one month to pay the same amount.
Thanks for taking the time to read Jada and Zeke compare their monthly text message plans Jada s plan costs tex 5 tex plus an additional tex 0 05 tex per text. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
