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Chapter 3: Q. 322 (page 399)

Kiyoshi鈥檚 phone plan costs \(17.50per month plus \)0.15per text message. What is the maximum number of text messages Kiyoshi can use so the phone bill is no more than $56.50?

Short Answer

Expert verified

The maximum number of text messages Kiyoshi can use so the phone bill is no more than $56.50is,260messages.

Step by step solution

01

Step 1. Given information

The cost for per text message is,$0.15.

The cost for phone plan is, $17.50plus the cost of text message.

Let xbe the required maximum number of messages.

It is also mentioned that, the phone bill is no more than$56.50.

From the given information, let us create an equation.

17.50+0.15x鈮�56.50

02

Step 2. Now simplify the obtained equation.

17.50+0.15x鈮�56.500.15x鈮�56.50-17.500.15x鈮�39x鈮�390.15x鈮�260

03

Step 3. Let us check the answer.

17.50+0.15x鈮�56.5017.50+0.15260鈮�56.5017.50+39鈮�56.5056.50鈮�56.50

which is true.

Therefore, the maximum number of text messages Kiyoshi can use so the phone bill is no more than$56.50is,260messages.

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