Question

There are two cell phone companies that offer different packages. Company A charges a

monthly service fee of ₹34 plus ₹.05/min talk-time. Company B charges a monthly

service fee of ₹40 plus ₹.04/min talk-time.

2. Write a linear equation that models the packages offered by both companies.

(a) A = 0.05x + 34 & B = 0.04x + ₹40

(b) A = 0.04x + ₹40 & B = 0.05x + 34

(c) A = 5x + 34 & B = 4x + ₹40

(d) A = 50x + 340 & B = 4x + ₹40If the average number of minutes used each month is 1,160, which company offers the

better plan?

a. Company A = 920 & B =86.4

b. Company A = 92 & B =86.4

c. Company A = 902 & B =867

d. Company A = 920 & B =86.04

4. If the average number of minutes used each month is 420, which company offers the

better plan?

(a) Company A offers a lower monthly cost of ₹55 compared to Company B’s

monthly cost of ₹56.80.

(b) Company B offers a lower monthly cost of ₹55 compared to Company A’s

monthly cost of ₹56.80.

(c) Company A offers a lower monthly cost of ₹50 compared to Company B’s

monthly cost of ₹55.

(d) Both offer same.

5. How many minutes of talk-time would yield equal monthly statements from both

companies?

(a) 600 (b) 650 (c) 700 (d) 750​

Answer 1

Answer:

The linear equation of both monthly plans can be written as A = 0.05x + 34 & B = 0.04x + 40.

Step-by-step explanation:

We are given that there are 2 cell phone companies with different packages.
The first company charges a basic monthly fee of Rs. 34 and an additional talk time of Rs. 0.05 per minute, while the second company charges a basic fee of Rs. 40 with an additional talk time of Rs. 0.04 per minute.

We need to express these in the form of a linear equation, which we can do as follows -

Let, the number of minutes of talk-time be x.

Thus, we can write the charges of both companies as -

$A = 34 + 0.05x\\B = 40 + 0.04x$

We are given that the average minutes of talk time is 1160 per month.

Thus, we can calculate the charge of both companies by substituting that in place of x.

$A = 34 + 0.05 (1160)\\A = 34 + 58\\A = Rs.\; 92\\B = 40 + 0.04 (1160)\\B = 40 + 46.4\\B = Rs. \; 86.4$

Thus, company B is better in terms of a cheaper monthly plan.

If the average minutes per month is 420, we can calculate the monthly bills in both companies as follows -

$A = 34 + 0.05 (420)\\A = 34 + 21\\A = Rs.\; 55\\B = 40 + 0.04 (420)\\B = 40 + 16.8\\B = Rs. \; 56.8$

In this case, company B is better in terms of a cheaper monthly plan.

If we want to have an equal plan from both companies, we can calculate that as follows -

$A = 34 + 0.05x\\B = 40 + 0.04x\\\\A = B\\34 + 0.05x = 40 + 0.04x\\0.01x = 6\\x = 600$

Thus, we need to have 600 minutes of talk time to have equal monthly statements from both companies.

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Answer 2

Answer:

All answers are in the explanation.

Step-by-step explanation:

There are two cell phone companies that offer different packages. Company A charges a monthly service fee of ₹34 plus ₹.05/min talk-time. Company B charges a monthly service fee of ₹40 plus ₹.04/min talk-time.

Let , Talk time will be x minutes.

$A = 34 + 0.05x\\\\B = 40 + 0.04x$

According to question average talk time 1160 minutes.

$A = 34 + (0.05 * 1160)\\or , A = 92.\\\\B = 40 + (0.04*1160)\\or , B = 86.4$

So company B has the better plan.

$A = 34 + (0.05 * 420)\\or , A = 55.\\\\B = 40 + (0.04*420)\\or , B = 56.8$

So company B has the better plan.

If equal monthly statements from both then ,

$34 + 0.05x=40 + 0.04x\\or , 0.01x = 6\\or , x = 600$

600 minutes of talk-time would yield equal monthly statements from both.

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