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HOW DO YOU SOLVE THIS PROBLEM STEP BY STEP HELP?
Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon. She decides to add 2 miles each day to her distance until she achieves her goal. If she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal? The correct answer is 176 miles.
2 Answers
- KrishnamurthyLv 74 weeks ago
Andrea runs 4 miles every day, but she wants to increase her distance
in order to run a 26 mile marathon.
She decides to add 2 miles each day to her distance until she achieves her goal.
If she starts with 6 miles today, how many miles will she have run in total,
by the time she achieves her 26 mile goal?
6 + 8 + 10 + 12 + 14 + 16 + 18 + ... + 26
sum_(n=1)^11 2 (n + 2) = 176 miles
The correct answer is 176 miles.
- 1 month ago
I can't help you with the equation part. (I sat at my screen for 20 minutes trying to figure it out; my algebra teacher would not be amused.)
However, there is another way to solve it.
You start with 6 miles, and you want to get to 26, increasing by 2 a day. Make this as a little sequence, following the rule.
6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26.
Tally all of those distances and you get 176.
