Question

lan wants to promote his band on the Internet. Site A offers website hosting for $4.95 per month with a$49.95 startup fee. Site B offers website hosting for $9.95 per month with no startup fee. Which inequalityshould lan choose below to determine how many months hecould have his website on Site B and still keep his total cost less than Site A?0 4.95m + 49.95 > 9.95mO 4.95m > 9.95m + 49.9509.95m > 4.95m + 49.95O 9.95 + 49.95 > 4.95m

Answer 1

Let's begin by listing out the information given to us:

Site A: $4.95 per month, $49.95 startup fee

Site B: $9.95 per month, $0 startup fee

The inequality which indicates the number of months Ian could use Site B while having his cost less than Site A is given by:

`\begin{gathered} A\colon y=4.95m+49.95----1 \\ B\colon y=9.95m--------2 \\ To\text{ solve for m, we equate Equations 1 \& 2. We have:} \\ 4.95m+49.95=9.95m \\ \text{Subtract 4.95m from both sides, we have:} \\ 4.95m-4.95m+49.95=9.95m-4.95m\Rightarrow49.95=5m \\ 49.95=5m\Rightarrow5m=49.95 \\ 5m=49.95\Rightarrow(5m)/(5)=(49.95)/(5)\Rightarrow9.99 \\ m=9.99months \\ m\approx10months \end{gathered}`

At 10 months, the cost of hosting on both Sites A & B is equal

After more than 10 months, the cost of hosting on Site A is less than Site B

At less than 10 months, the cost of hosting on Site A is more than Site B

Therefore, Ian will need to keep the Site B for less than 10 months to have a cost lower than that of Site A. This is represented by the inequality:

`4.95m+49.95>9.95m`

Hence, option A is the correct answer