Question 84057: Can someone please help me with these two problems i still can't figure them out.
#3
A biologist recorded 9 snakes on 21 acres in one area and 13 snakes on 47 acres in another area. Let y be the number of snakes in x acres. Write a linear equation for the number of snake eyes.
# 8
Midtown delievery service delievers packages which cost $2.10 per package to deliever . The fixed cost to run the delievery truck is $78 per day. If the company charges $4.10 per package, how many packages must be delivered daily to make a profit of $36?
Answer by vertciel(183)   (Show Source):
You can put this solution on YOUR website! Hello there,
I don't like snakes, but I like math so for 3, could you please clarify the question. Do they just want "a linear equation for the number of snake eyes" or a linear equation for the number of snake eyes per specific area?
8. A linear equation is in the form of y = x. Y is called the dependent variable, because it depends on x, which is the independent variable. Your profit is Y because it depends on how many packages gets delivered (x).
So we have:
Profit = Money made from packages - 78 (Truck usage fee or something)
$36 = 4.1x - 78 <-- Each package costs 4.1 to deliver so 4.1x determines how many packages are delivered.
4.1x = 114
x ≈ 27.805
However, courriers don't generally deliver fractions of packages so we round x up to 28. Therefore, Midtown delivery service needs to deliver 28 packages if they want to make a profit of $36 while charging $4.1/package.
Please write back to clarify #3 and if you need any more help.
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Hello again,
I was curious as to whether #3 had more information because according to the question, "recorded 9 snakes on 21 acres in one area and 13 snakes on 47 acres in another area" is useless information.
Anyways, the ratio of snakes: acres are not proportional in both areas so for the first area, the linear equation of the number of snake eyes would be:
2(9y) = 21x
y = (21x/9) x 2 <-- x 2 because each snake has two eyes
Try to find the linear equation for the second area yourself. Y is the number of snake eyes.
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