1. Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her trip, how many miles is her ride?
Enter your answer in the box as a decimal to the nearest tenth of a mile.
2.Randall is saving money to buy a bicycle. He has $37.80 in his savings account and saves 20% of his paper route earnings each week. After 10 weeks, he has $87.80 in his savings account. How much does Randall earn each week from his paper route?
3.There are 5 students on the school chess team. They need to raise at least $445 for a field trip. Their advisor says they have raised 14% of the funds so far and she wants each of them to raise an equal share of the money still needed.
Craig writes and solves an inequality to find the least amount of money, m, each student on the chess team still needs to raise. He solves his inequality and says the solution is m≥$12.46.
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Answer:
Step-by-step explanation:
Question 1:
Initial charge = 6.75
Charge per mile = 3.20
Total charge = 40.03
Total charge per mile
= 40.03 - 6.75 = 33.28
Total miles = 33.28 / 3.20 = 10.4
= 10.40 miles
Question 2:
Initial amount = 37.80
Total amount in the end = 87.80
Amount saved for 10 weeks
= 87.80 - 37.80 = 50
Amount per week = 50/10 = 5
This represents 20%.
Total earnings per week is thus :
100/20 × 5 = 25
Earnings per week = $25
Question 3:
The remaining amount after 14% has been raised is :
100% - 14% = 86%
86/100 × 445 = 382.70
The 5 students need to raise equal amounts.
Amount raised by each child is given by :
382.70/5 = $76.54
Therefore:
$76.54 < m < $12.46
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