Answer
436.8k+ 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
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science 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)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 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)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![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)
How do you graph the function fx 4x class 9 maths 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)