Jaden has a prepaid phone plan (Plan A) that charges 15 cents for each text sent and 10 cents per minute for calls.
1. If Jaden uses only text, write an equation for the cost C of sending t texts.
a. How much will it cost Jaden to send 15 texts? Justify your answer.
b. If Jaden has $6, how many texts can he send? Justify your =answer.
1. If Jaden uses only text, write an equation for the cost C of sending t texts.
C = $.15t
a. How much will it cost Jaden to send 15 texts? Justify your answer.
C = $.15 * 15
C = $ 2.25
b. If Jaden has $6, how many texts can he send? Justify your answer.
C = $.15t
$6 = $.15t
$6/$.15 = t
t = 40 texts
2. If Jaden only uses the talking features of his plan, write an equation for the cost C of
talking m minutes.
C = $.10m
a. How much will it cost Jaden to talk for 15 minutes? Justify your answer.
C = $.10 * 15
C = $1.50
b. If Jaden has $6, how many minutes can he talk? Justify your answer.
C= $.10m
$6 = .10m
$6/.10 = m
m = 60 minutes
3. If Jaden uses both talk and text, write an equation for the cost C of sending t texts and
talking m minutes.
C = $.15t + $.10m
a. How much will it cost Jaden to send 7 texts and talk for 12 minutes? Justify
your answer.
C = $.15t + $.10m
C = $.15*7 + $.10*12
C = $1.05 + $1.20
C = $2.25
b. If Jaden wants to send 21 texts and only has $6, how many minutes can he talk?
Will this use all of his money? If not, will how much money will he have left?
Justify your answer.
C = $.15t + $.10m
$6 = $.15*21 + $.10m
$6 = $3.15 + .10m
$6 - $3.15 = .10m
$2.85 = .10m
$2.85/.10 = m
m = 28.5 minutes
Since most carriers will charge a full minute for any fraction of a minute, Jaden
can talk for 28 minutes. He will have $0.05 left over if he talks for 28 minutes.
Jaden discovers another prepaid phone plan (Plan B) that charges a flat fee of $15 per month, then
$.05 per text sent or minute used.
4. Write an equation for the cost of Plan B.
C = $15 + $.05n (Since the cost of text and talk are the same, the same variable can
represent both.)
In an average month, Jaden sends 200 texts and talks for 100 minutes.
This is the whole assiment
a. The equation for the cost C of sending t texts is: C = 0.15t.
To find out how much it will cost Jaden to send 15 texts, we can substitute t = 15 into the equation:
C = 0.15(15)
C = 2.25
So, it will cost Jaden $2.25 to send 15 texts.
b. To find out how many texts Jaden can send with $6, we can reverse the equation:
t = C / 0.15
Substituting C = 6 into the equation:
t = 6 / 0.15
t = 40
So, Jaden can send 40 texts with $6.
Step 1: Let's create the equation for the cost C of sending t texts.
Since each text costs 15 cents, the equation for the cost of sending t texts is:
C = 15t
Step 2: Let's find the cost of sending 15 texts.
Substitute t = 15 into the equation:
C = 15 * 15
C = 225 cents
So, it will cost Jaden 225 cents to send 15 texts.
Step 3: Let's find how many texts Jaden can send with $6.
Since each text costs 15 cents, we can divide $6 by 15 to find the number of texts:
Number of texts = $6 / 15 = 40 texts
Therefore, Jaden can send 40 texts with $6.
To form an equation for the cost C of sending t texts in Plan A, we need to multiply the number of texts by the cost per text. Since each text costs 15 cents, the equation for the cost C would be:
C = 15t
a. To find the cost of sending 15 texts, we can substitute t = 15 into the equation C = 15t:
C = 15(15) = 225 cents.
Therefore, it will cost Jaden 225 cents or $2.25 to send 15 texts.
b. To determine the number of texts Jaden can send with $6, we can rearrange the equation C = 15t to solve for t:
t = C/15
Substituting C = 600 (since $6 equals 600 cents), we have:
t = 600/15 = 40 texts.
Therefore, Jaden can send 40 texts with $6.
1)
0.15t = C
2)
Solve the above equation.
c