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<16
m less than 16

m<26
m less than 26

m≥16
m greater-than-or-equal-to 16

m≥26

1 answer

To find the amount of money \( m \) that a family must bring to the amusement park so that they will have at least $21 to spend after paying a $5 parking fee, we can set up the inequality as follows:

  1. The family pays a $5 parking fee, so after paying that, they have \( m - 5 \).
  2. They want to have at least $21 left, which gives us the inequality:

\[ m - 5 \geq 21 \]

  1. Now, we add 5 to both sides of the inequality:

\[ m \geq 21 + 5 \]

\[ m \geq 26 \]

Thus, the inequality that shows the amount of money \( m \) that a family must bring to the amusement park is:

m≥26 (m greater-than-or-equal-to 26).