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Your internet provider offers two different plans. One plan costs $.02 per email
plus a $9 monthly service charge. The other plan costs $.05 per email with no
service charge.
a. Write a system of equations to model the cost of the two internet plans.
b. For how many email messages will both plans cost the same?
c. If you send and receive about 500 email messages per month, which plan
should you use?

Your internet provider offers two different plans. One plan costs $.02 per email plus a $9 monthly service charge. The other plan costs $.05 per email with no s class=

Answer :

a.) y= 0.2x + 9 and y= 0.5x

b.) 30 emails

c.) the first plan

Step-by-step explanation:

a.) cost per email is a variable

b.) graph and find intersection of the lines

c.) plug in 500 for x in both equations

The number of email messages where both plans will cost the same will be 300 messages.

The system of equations to model the cost of the two internet plans based on the information given will be:

Internet provider 1 = 9 + 0.02m

Internet provider 2 = 0.05m

where m = number of mails

The number of email messages where both plans will cost the same will be:

9 + 0.02m = 0.05m

Collect like terms

0.05m - 0.02m = 9

0.03m = 9

m = 9/0.03

m = 300

When there's 500 messages for the month, the cost for each plan will be:

Internet provider 1 = 9 + 0.02m

= 9 + 0.02(500)

= 9 + 10

= 19

Internet provider 2 = 0.05m

= 0.05(500)

= 25

Therefore, based on the calculation, the first plan is cheaper.

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