Solve an inequality that shows the amount of money ( m) that a family must bring to an amusement park so they will have at least $21 to spend after paying a $5 parking fee.(1 point)

Question

Responses

m<26
m less than 26

m<16
m less than 16

m≥16
m greater-than-or-equal-to 16

m≥26
m greater-than-or-equal-to 26

Answer 1

To solve the inequality, we need to determine how much money \( m \) a family needs to bring to the amusement park such that they have at least $21 left after paying the $5 parking fee.

1. Start with the total amount of money they bring: \( m \)

2. Account for the parking fee: After paying the $5 parking fee, the amount they have left is \( m - 5 \).

3. We want this amount to be at least $21:

   \[ m - 5 \geq 21 \]

4. Now, solve the inequality. First, add 5 to both sides:

   \[ m \geq 21 + 5 \] \[ m \geq 26 \]

The solution shows that the family must bring at least $26 to the amusement park to ensure they have at least $21 left after paying for parking.

The correct response is:

m ≥ 26 (m greater-than-or-equal-to 26)