Question

Jesse sets a goal to run at least twenty-five miles each week to prepare for a half-marathon. She already runs three miles every weekday. To meet her goal, she decides to run on Saturdays and Sundays too. If she runs equal distances on Saturdays and Sundays, which inequality represents the number of miles she must run each weekend day to meet her goal?

fifteen plus two d is greater than or equal to twenty-five

two plus fifteen d is greater than or equal to twenty-five

fifteen plus two d is less than or equal to twenty-five

two plus fifteen d is less than or equal to twenty-five

Answer 1

If Jesse runs 3 miles every weekday, and there are five weekdays (Mon-Fri), how many total miles does Jesse run during those weekdays?

Answer 2

15

Answer 3

Right, and if she wants to run a total of at least 25 miles each week, then she needs to run at least 10 more miles on the weekend, right? But it also tells you she runs equal distances on Saturday and Sunday... that's your hint to make that a variable... in this case, they are calling the number of miles each weekend day as "d".

So:
Weekdays: 3 miles * 5 days = 15 miles
Weekends = "d" miles on Saturday + "d" miles on Sunday = "2d" miles

Answer 4

So weekday miles + weekend miles must be ≥ 25 miles

Answer 5

weekday miles + weekend miles ≥ 25 miles
15 + 2d ≥ 25

Or, just 15 + 2d ≥ 25

Answer 6

I gave you a medal JakeV8

Answer 7

Thank you @jada1701877 :)

Answer 8

you welcome.I couldn't have explained this better

Answer 9

Thanks for the compliment :)

I tried to make it easy to understand... interpreting word problems takes practice, but lots of times, there are similar sorts of hints that you can learn to see... the hints hopefully help translate from words to math.

Answer 10

yea