Question
Verizon Wireless offers an internet plan for $20 a month plus a $20 setup fee. Consolidated Communications offers an internet plan for $25 a month plus a $10 setup fee. After how many months will the plans be equal?
Hint:
- Hint:
○ Form the equation according to given information..
○ Take variable values as x or any alphabet.
○ Solve the equation to get value of x.
The correct answer is: x = 2
- Step by step explanation:
○ Given:
Verizon wireless.
Internal plan = $20 monthly
Setup fee = $20
Consolidated Communications.
Internal plan = $25 monthly
Setup fee = $10
○ Step 1:
○ Let, after x months both plans will be equal.
so,
Cost of Verizon wireless internet plan for x months will be
(cost for x months + setup fee )
(20x + 20 )
Cost of Consolidated Communications plan for x months will be
(cost for x months + setup fee )
(25x + 10 )
○ Step 3:
○ Equate cost of both plan for x months.
∴ ( 20x + 20 ) = ( 25x + 10 )
20 - 10 = 25x - 20x
10 = 5x
x =
x = 2
- Final Answer:
Hence, after 2 months both internet plans will be same.
Cost of Consolidated Communications plan for x months will be
○ Step 3:
○ Equate cost of both plan for x months.
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Use inductive reasoning to make a conjecture about the sum of a number and itself. Then use deductive reasoning to show the conjecture is true.
Informally, a hypothesis is just drawing assumptions about something based on what you already know and have observed.
A conjecture is formally defined as a based-on-observations, a statement considered true.
Speculation is similar to your opinion about something you follow or perhaps a knowledgeable estimate.
For example, observe the numbers below: 2, 4, 6, 8, 10, and 12. What number would come next? You're probably thinking 14, but What led you to that conclusion, and why? You may have seen the pattern and that the list is counting in twos.
The following number is 14 because the list counts by 2's, according to your hypothesis.
You saw the pattern and concluded without making any claim.
Use inductive reasoning to make a conjecture about the sum of a number and itself. Then use deductive reasoning to show the conjecture is true.
Informally, a hypothesis is just drawing assumptions about something based on what you already know and have observed.
A conjecture is formally defined as a based-on-observations, a statement considered true.
Speculation is similar to your opinion about something you follow or perhaps a knowledgeable estimate.
For example, observe the numbers below: 2, 4, 6, 8, 10, and 12. What number would come next? You're probably thinking 14, but What led you to that conclusion, and why? You may have seen the pattern and that the list is counting in twos.
The following number is 14 because the list counts by 2's, according to your hypothesis.
You saw the pattern and concluded without making any claim.