7. Find the percent of decrease from 290 to 100. Round to the nearest tenth of a
1 answer:
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Answer:
29037.036 miles
Step-by-step explanation
There are two possible ways to solve this problem.
The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.
2800/2.70 = 1037.037
This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.
1037.037 x 28 = 29037.036 gallons
The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.
For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.
Set it up like this:
This allows the equation to be more organized, and you can check your work by canceling the units.
Hope this helps.
The first thing we must do for this case is to define variables.
We have then:
x: number of slices
y: total cost
We write the linear function that relates the variables.
We have then:
Then, we evaluate the number of slices to find the total cost.
-two slices cost:
We substitute x = 2 in the given equation:
Answer:
two slices = 2.2 $
-ten slices cost:
We substitute x = 10 in the given equation:
Answer:
ten slices = 11 $
-half a slice cost:
We substitute x = 1/2 in the given equation:
Answer:
half a slice = 0.55 $