Can you please help me! I solved it, but I'm not sure if I'm right.
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Paulo pays $45.99 per month for unlimited calls, with additional charges for text messages. His bill for 4 months is $207.96. If he sends 100 texts each month, how much is he charged per text?
( Can you show an expression, seeing if I got it right! I got 16.666...)
I don't understand this, please help?
Substitute the cost of a text in the equation. Does it make a true equation?
If he sent 100 texts each month, that is a total of 400 texts during the 4 month period.
4(45.99) + 400x = 207.96
183.96 + 400x = 207.96
400x = 24
x = .06
Sure! Let's solve this step-by-step.
Let:
x = cost per text
We know that Paulo's bill for 4 months is $207.96, and he sends 100 texts each month. Therefore, the cost of his texts over 4 months can be calculated as:
400 (4 months * 100 texts/month) * x (cost per text) = 207.96
Simplifying the equation, we have:
400x = 207.96
To find the value of x, we will divide both sides of the equation by 400:
x = 207.96/400
Dividing these numbers, we find:
x ≈ 0.5199
So, the approximate cost per text is $0.5199.
To check if your answer of 16.666... is correct, let's substitute your value back into the equation:
400 (4 months * 100 texts/month) * 16.666... ≈ 207.96
This equation does not make a true statement. Therefore, it seems there might be an error in your calculation.
The correct answer is approximately $0.5199 per text.
Sure! Let's figure out the cost Paulo is charged per text message.
We know that Paulo pays $45.99 per month for unlimited calls, so we can subtract this fixed cost from his total bill for 4 months to find out how much he is charged for text messages.
Total bill for 4 months: $207.96
Monthly fixed cost for unlimited calls: $45.99
Additional charges for text messages for 4 months:
Total bill for 4 months - (Monthly fixed cost * Number of months)
= $207.96 - ($45.99 * 4)
= $207.96 - $183.96
= $24
Paulo sends 100 texts each month, so we can divide the additional charges for text messages by the number of texts to find the cost per text.
Cost per text = Additional charges for text messages / Number of texts sent
= $24 / (4 months * 100 texts)
= $24 / 400 texts
= $0.06
So, Paulo is charged $0.06 per text message.
To check if your expression is correct, we can use it to solve the problem:
Cost per text = Total bill for 4 months - (Monthly fixed cost * Number of months) / (Number of months * Number of texts sent)
= $207.96 - ($45.99 * 4) / (4 * 100)
= $207.96 - $183.96 / 400
= $24 / 400
= $0.06
Your expression of 16.666... is not correct. The correct answer is $0.06 per text.