Noelle has set a goal to run more than 50 mi this month. So far, she has run 10 mi. Her average running speed is 5 mph.

Let h represent the number of hours Noelle runs for the rest of the month.

To meet her goal, Noelle must run more than _ h the rest of the month.

Answer:

To meet her goal, Noelle must run more than [tex]8\ hours[/tex] the rest of the month

Step-by-step explanation:

Let

h-------> the number of hours Noelle runs for the rest of the month

we know that

The inequality that represent the situation is

[tex]10+5h>50[/tex]

Solve for h

Subtract  10 both sides

[tex]5h> 50-10[/tex]

[tex]5h> 40[/tex]

Divide by 5 both sides

[tex]h> 8\ hours[/tex]