Question

ivanna is riding laps on her motorcycle. it takes her 5 minutes to complete a lap. she will ride for more than 35 minutes. lets look at the possible numbers of laps ivanna will ride.
(a) fill in the blanks to write an inequality that can be used to find ( x ), the number of laps ivanna will ride. choose only from ( 5 + x ), ( 5 - x ), ( x - 5 ), ( 5x ), ( \frac{5}{x} ), ( \frac{x}{5} ), ( < ), ( leq ), ( > ), ( geq ), or 35.
inequality: (square) (square) (square)
(b) find the possible numbers of laps ivanna will ride. write your answer as an inequality solved for ( x ).
(c) on the number line below, graph the solution that represents the possible numbers of laps ivanna will ride.

Explanation:

Step1: Define total ride time

Total time = time per lap × laps, so $5x$.

Step2: Set up inequality

Total time > 35, so $5x > 35$.

Step3: Solve for x

Divide both sides by 5: $\frac{5x}{5} > \frac{35}{5}$ → $x > 7$.

Step4: Graph the solution

On a number line, use an open circle at 7, draw an arrow to the right.

Answer:

(a) Inequality: $5x > 35$
(b) $x > 7$
(c) Draw an open circle at the point 7 on the number line, then draw a solid arrow pointing to the right from this circle to represent all numbers greater than 7.