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Answer:
289 messages
equation:
graph: attached below
Step-by-step explanation:
We can write this in slope-intercept form, or . Since x is defined as the #of text messages, and 0.05 is the cost of a text message, 0.05 will be m. 45.5 is the base price, or the y-intercept, so it will be b.
Plugging in these numbers, we get
now we make y = 60, since that is the total amount they have
So, they can send 290 messages for 60, but they need the bill under 60, so 1 text message less will be 289, and that's enough.
