during one month of cell phone use, Noah used 200 anytime minutes and 400 text messages, and paid $80. the next month, he used 150 anytime minutes and 350 text messages, and paid $67.50. which statement is true?

Aeach text message costs 5 cents more than each anytime minute
Beach anytime minute costs 10 cents more than each text message
Ca text message and an anytime minute each costs 25 cents
Deach text message costs double the amount of an anytime minute

The statement A is true since on forming the quadratic equations formed you will find the cost of a message being 15 cents and that of anytime as 10 cents.

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JeanaShupp JeanaShupp · Answer 2 · 2019-01-07T05:03:01-05:00

Answer: a) each text message costs 5 cents more than each anytime minute

Step-by-step explanation:

Let x be the cost of anytime minutes and y be the cost of text messages.

Then for the first month, equation for the total amount Noah paid

$200x+400y=80\\\Rightarrow5x+10y=2..\text{[divide 20 on both sides]}\\\Rightarrow15x+30y=6....\text{[multiply 3 on both sides]}$...(1)

For the second month, equation for the total amount Noah paid

$150x+350y=67.5\\\Rightarrow15x+35y=6.75....\text{[divide 10 on both sides]}$....(2)

Now subtract equation (1) from equation (2), we get

$5y=0.75\\\Rightarrow\ y=0.15$

Put y=0.15 in (1), we get

$5x+10(0.15)=2\\\Rightarrow5x+1.5=2\\\Rightarrow\ x=\frac{2-1.5}{5}=0.10\\\Rightarrow\ x=0.10$

Thus, the cost of anytime minutes(x)= $0.10= 10 cents

and the cost of test messages(y)=$0.15=15 cents

Difference=15-10=5 cents

Hence, each text message costs 5 cents more than each anytime minute.