Answer
423.9k+ views
Hint:In this question, we represent the function in an algebraic form. This can be done by representing the function by any variable.
Since $x$ and $y$ are in cents, then we have to convert $5.55$ in cents as well.
Let assume the total time of the call be ‘t’ in minutes and make the equation by using the given terms in the question.
Complete step by step solution:
Let us assume that the call lasts for ‘t’ minutes.
And to convert dollars into cents, we need to multiply it by 100.
$
{\text{As}},{\text{ }}\$ 1 = 100{\text{ }}cents \\
\$ 5.55 = 5.55 \times 100 \\
= 555{\text{ }}cents \\
$
Then, the cost for the first minute = $x$ cents
Cost for the remaining call = $y(t - 1)$ cents
Hence, the total cost of the call = $x + y(t - 1){\text{ cents - - - - (i)}}$ cents
According to the question, the cost of the call is \[\$ 5.55 = 555{\text{ cents - - - - (ii)}}\] so,
On equating equation (i) and (ii) we get,
Cost of the call = Cost for the first minute + cost for the remaining call
$
555 = x + y(t - 1) \ldots \left( {{\text{in cents}}} \right) \\
x + yt - y = 555 \\
yt - y = 555 - x \\
yt = 555 - x + y \\
t = \dfrac{{555 - x + y}}{y} \\
$
So,option (C) is correct
Note: The first thing we should keep in mind is that all the terms of an equation must have the same units. Students must solve these types of questions carefully. The major mistake students usually make is that there are (t-1) additional minutes which do not cost the same as it cost for the first minute, so do the calculations carefully. And also remember to use the terms with the same units by changing them.
Since $x$ and $y$ are in cents, then we have to convert $5.55$ in cents as well.
Let assume the total time of the call be ‘t’ in minutes and make the equation by using the given terms in the question.
Complete step by step solution:
Let us assume that the call lasts for ‘t’ minutes.
And to convert dollars into cents, we need to multiply it by 100.
$
{\text{As}},{\text{ }}\$ 1 = 100{\text{ }}cents \\
\$ 5.55 = 5.55 \times 100 \\
= 555{\text{ }}cents \\
$
Then, the cost for the first minute = $x$ cents
Cost for the remaining call = $y(t - 1)$ cents
Hence, the total cost of the call = $x + y(t - 1){\text{ cents - - - - (i)}}$ cents
According to the question, the cost of the call is \[\$ 5.55 = 555{\text{ cents - - - - (ii)}}\] so,
On equating equation (i) and (ii) we get,
Cost of the call = Cost for the first minute + cost for the remaining call
$
555 = x + y(t - 1) \ldots \left( {{\text{in cents}}} \right) \\
x + yt - y = 555 \\
yt - y = 555 - x \\
yt = 555 - x + y \\
t = \dfrac{{555 - x + y}}{y} \\
$
So,option (C) is correct
Note: The first thing we should keep in mind is that all the terms of an equation must have the same units. Students must solve these types of questions carefully. The major mistake students usually make is that there are (t-1) additional minutes which do not cost the same as it cost for the first minute, so do the calculations carefully. And also remember to use the terms with the same units by changing them.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)