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)

Responses

m<26
m less than 26

m≥16
m greater-than-or-equal-to 16

m≥26
m greater-than-or-equal-to 26

m<16

1 answer

To determine 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, we can set up the following inequality:

  1. The family brings \( m \) dollars.
  2. After paying the $5 parking fee, they will have \( m - 5 \) dollars left.
  3. We want this amount to be at least $21.

So, we set the inequality:

\[ m - 5 \geq 21 \]

Next, we solve for \( m \):

  1. Add 5 to both sides:

\[ m \geq 21 + 5 \]

\[ m \geq 26 \]

This means the family needs to bring at least $26 to have at least $21 left after paying for parking.

Therefore, the correct response is:

m≥26
m greater-than-or-equal-to 26