A cell phone company charges $10 per month for up to 500 text messages and $0.15 for each additional text messages. Stanley was charged $14.50 last month for text messages. Write and solve an equation to find the number of text messages he sent and received last month.

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Mathematics

17 February, 11:59

A cell phone company charges $10 per month for up to 500 text messages and $0.15 for each additional text messages. Stanley was charged $14.50 last month for text messages. Write and solve an equation to find the number of text messages he sent and received last month.

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Dale Murillo · Answer 1

Because he was charged more than $10, we can write the equation:

0.15*t+10=14.50

Where t is the amount of text messages over 500.

Alternatively, you could do:

0.15 * (t-500) + 10=14.50

Where t is the amount of text messages. 0.15 modifies t or t-500 because it's the cost for texts over 500, and 10 is added for the first 500 texts. 14.50 is on the other side because it's the total cost.