The monthly data y in gigabyte left by Peter after x days is given by the equation y - -2x - 50- and that by Robert is given in the table- Number of days- x Monthly data- gigabyte- y- 0 35- 7 28- 14 21- 21 14- 28 7- -What will be the difference between the monthly data left by Robert and Peter after 21 days-

Monthly data left by Peter: y = −2x + 50 ⇒ y = −2(21) + 50 nbsp; nbsp;(substituting x = 21 as we have to find data left after 21 days) ⇒ y = −42 + 50 ⇒ y ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Properties of Set Operation

The monthly d...

Question

The monthly data $y$ (in gigabyte) left by Peter after $x$ day(s) is given by the equation $y = - 2 x + 50,$ and that by Robert is given in the table.

$\begin{matrix} Number of days, x & Monthly data (gigabyte), y 0 & 35 7 & 28 14 & 21 21 & 14 28 & 7 \end{matrix}$

What will be the difference between the monthly data left by Robert and Peter after $21$ days?

Open in App

Solution

Monthly data left by Peter:
$y = - 2 x + 50$
$\Rightarrow y = - 2 (21) + 50$ (substituting $x = 21$ as we have to find data left after $21$ days)
$\Rightarrow y = - 42 + 50$
$\Rightarrow y = 8$
Monthly data left by Peter after $21$ days is $8$ gigabytes.
Monthly data left by Robert:
From the table, the monthly data left by Robert after $21$ days is $14$ gigabytes.
The difference between the monthly data left by Robert and Peter after $21$ days $= 14 - 8 = 6$ gigabytes.
$\Rightarrow$ Option D is correct.

Suggest Corrections

Similar questions

\begin{matrix} x & 2 & 4 & 6 y & 0 & 2 & 4 \end{matrix}

In the table representing the relationship between

x

and

y

, each

y

is obtained by ______ the corresponding

x

Each month, you start with $2$ gigabytes of data and use $0.08$ gigabyte per day. The table shows the amount $y$ of data that your friend has left $x$ days after the start of each month. Who runs out of data first $?$

Q. Find the correct relationship between x and y from the given table

\begin{matrix} X & 1 & 2 & 3 & 4 & . . . Y & 4 & 8 & 12 & 16 & . . . \end{matrix}

Q. There is a company which provides different services in different states at different GST rates. Find the total amount being charged by them using data from the given table:

\begin{matrix} Cost of sevice(in Rs.) & 5000 & 6000 & 4200 & 7500 GST % & 12 & 18 & 12 & 18 \end{matrix}

Q. Function I is defined by the graph, function II is defined by the table, and function III is defined by the equation

y = 4.5 x + 9.

\begin{matrix} x & y 0 & 9 1 & 14 2 & 19 3 & 24 4 & 29 \end{matrix}

The given options represent the functions in decreasing order based on their slopes. Choose the option correctly representing the order.

Join BYJU'S Learning Program

The monthly data y (in gigabyte) left by Peter after x day(s) is given by the equation y=−2x+50, and that by Robert is given in the table. Number of days, xMonthly data(gigabyte), y03572814212114287 What will be the difference between the monthly data left by Robert and Peter after 21 days?