Math in Society |Mathematics
A neighbor of mine has a lawn that isn’t looking too good. It looks something like the first picture below (not his house, but the lawn looks similar). The second picture shows the actual overhead image of his house and yard. Make sure you try to distinguish where the property lines are (based on the shadowing/fence lines).
Notice the scale on the map, the top tick marks are for feet, and the bottom marks are for meters. He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he’ll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don’t think he’s right. You’re going to help us settle this.
1) What additional information will you need to answer the question of whether paying for delivery or hauling in the pickup is cheaper? List at least 6 pieces of additional information that you think you will need to solve this problem and provide reasoning for why you need it. (do not actually do any calculations just think about the actual question very carefully). You will do the actual calculations later this week.
2) Do not make any calculations yet, just GUESS how many pickup truck loads of topsoil my neighbor would have to make. I will give credit for any reasonable answer.
loads
A company’s sales in Seattle were $330,000 in 2012, while their sales in Portland were $225,000 for the same year. Complete the following statements:
a. Seattle’s sales were % larger than Portland’s.
b. Portland sales were % smaller than Seattle’s.
c. Portland sales were % of Seattle’s.
Give answers accurate to at least one decimal place.
A store has clearance items that have been marked down by 30%. They are having a sale, advertising an additional 50% off clearance items. What percent of the original price do you end up paying?
%
Give your answer accurate to at least one decimal place.
A friend has a 79% average before the final exam for a course. That score includes everything but the final, which counts for 30% of the course grade.
What is the best course grade your friend can earn? %
What is the minimum score would your friend would need on the final to earn a 75% for the course? %
Give answers accurate to at least one decimal place.
A car is driving at 95 kilometers per hour. How far, in meters, does it travel in 5 seconds?
meters
Give your answer to the nearest meter.
The store is selling lemons at $0.70 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make two 9-inch lemon pies, each requiring half a cup of lemon juice?
$
You want to put a 6 inch thick layer of topsoil for a new 26 ft by 14 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
cubic yard
$
Round your answer to the nearest dollar.
First, determine what information you need to answer this question, then click here to display that info (along with other info).
You will need to buy pounds of pecans.
Give your answer accurate to at least one decimal place.
Suppose it takes about 0.5 seconds to hear the echo. How far away is the canyon wall, in feet?
feet
Now let’s generalize that result. Suppose it takes n seconds to hear the echo. How far away is the canyon wall, in terms of n?
feet
First, determine what information you need to answer this question, then click here to display that info (along with other info).
Which option is cheapest over one year (365 days)?
The cheapest option saves her $ over a year.
Give your answer to the nearest cent. Pro-rate the costs of additional filters (so if you only use part of a filter, only count the corresponding fraction of the filter cost).
A neighbor of mine has a lawn that isn’t looking too good. The picture below shows an overhead image of his house and yard. Keep in mind that you can also see part of his neighbors yards so look carefully at just his yard (shaded portions are fencing / property lines)
He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he’ll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don’t think he’s right. You’re going to help us settle this.
Here is (most of) the information you asked for: KEEP IN MIND THIS IS MATH CLASS AND I EXPECT TO SEE YOUR CALCULATIONS!
Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery?
Detail all your assumptions and calculations, and clearly write out your final conclusions. It may be easier to write it on paper and upload a picture of your work.
