Question

Text messages cost .15 each you can spend no more than 10 which for eh following inequality's represents the amount of M u can send
.15m>=10
.15m<=10

Answer 1

A or b

Answer 2

To determine how many text messages (represented by \( m \)) you can send without exceeding the budget of $10, you need to set up the appropriate inequality based on the cost per message.

Given that each text message costs $0.15, the total cost for \( m \) text messages would be \( 0.15m \).

Since you cannot spend more than $10, the inequality would be:

\[
0.15m \leq 10
\]

To find the maximum number of messages you can send, you can solve this inequality:

1. Divide both sides by 0.15:

\[
m \leq \frac{10}{0.15}
\]

2. Calculate \( \frac{10}{0.15} \):

\[
\frac{10}{0.15} = \frac{10 \times 100}{15} = \frac{1000}{15} \approx 66.67
\]

Since you can’t send a fraction of a text message, you can send a maximum of 66 messages.

Thus, the correct inequality representing the amount of messages \( m \) you can send is:

\[
0.15m \leq 10
\]

So, the correct choice is \( 0.15m \leq 10 \).

Answer 3

The correct choice between the two options you provided is:

**B.** \( 0.15m \leq 10 \)

This is the inequality that represents the maximum amount of text messages \( m \) that you can send without exceeding the budget of $10.

**A.** \( 0.15m \geq 10 \) would not be correct as it suggests you must spend at least $10, which contradicts the condition of spending no more than $10.