anonymous
  • anonymous
Arnold is about to go on a 500-mile car trip. His mechanic recommends that he buy a special highway engine oil that will save him 50 cents in gas for every 25 miles of the trip. This new oil, however, will cost $20. Is it worthwhile for Arnold to buy the oil if he has a coupon for $4 dollars off the price?
Meta-math
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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whpalmer4
  • whpalmer4
figure out how many 25 mile segments there are in this trip. multiply that number by 50 cents. compare that number with $20-$4. If it is larger, then using the special oil makes sense.
anonymous
  • anonymous
500/25
whpalmer4
  • whpalmer4
500/25 = ?

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More answers

anonymous
  • anonymous
20
whpalmer4
  • whpalmer4
Great. How much is 20 * 50 cents?
anonymous
  • anonymous
1000
whpalmer4
  • whpalmer4
how many dollars is that?
anonymous
  • anonymous
10?
whpalmer4
  • whpalmer4
you're not sure? how many cents in a dollar?
anonymous
  • anonymous
100
whpalmer4
  • whpalmer4
how much is 20 set of 2 quarters?
whpalmer4
  • whpalmer4
$10, right?
anonymous
  • anonymous
right
whpalmer4
  • whpalmer4
so, does it make sense to buy the special oil?
anonymous
  • anonymous
no
whpalmer4
  • whpalmer4
you can save $10 over the course of the trip. would you pay $16 for that?
whpalmer4
  • whpalmer4
good :-)
anonymous
  • anonymous
thankyou
whpalmer4
  • whpalmer4
you're welcome.
whpalmer4
  • whpalmer4
for a little puzzle to test your understanding, try to figure out how many cents per 25 miles you would have to save for it to be worth buying the special oil.
whpalmer4
  • whpalmer4
or how far you would have to drive with this oil for it to be worth it...
anonymous
  • anonymous
hmmm 12.50
whpalmer4
  • whpalmer4
20 segments * x cents/segment = $16 — that's the break-even point for purchasing the special oil $16/20 = $0.8 or 80 cents gas savings per 25 miles to make it worthwhile. for the second one, if we save 50 cents per 25 miles, and we need to save $16, the number of 25 mile segments to be driven is $16/50 cents = $16/$0.5 = 32 segments, or 32*25 = 800 miles
anonymous
  • anonymous
ohhh okay i jus did 25/2 lol silly me

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