Word problem help please?
Ok here are the problems I need help with
1)A revenue of $1500 is obtained from the sales of item A at $50 each and item B at $25 each. Write an equation that shows the relationship between the numbers of items sold.
2)An airplane trip is traveling away from its home airport at a constant speed. After 3 hours, it is 540 miles away Assuming it departed at t=0, write an equation representing the distance, "D" (in miles), at any time "t" (in hours).
3)A real estate sales agent receives a salary of $250 per week plus a commission of 2% sales. Write a linear model for the weekly income "y" in terms of sales "x".
4)Machinery is bought new for $36,000 and is considered worth $2,000 as junk at the end of 10 years. Assuming a linear model for depreciation, write the equation of its value, "V" (in dollars), when "t" years have elapsed after the purchase.
Please label your answers with a number to represent the question you are answering. Please explain the answer too.
1) The revenue from item A is 50A where A represents the number of item A sold. Likewise the revenue from item B is 25B. Thus the relationship between them is 50A + 25B = 1500 because 1500 is the total revenue.
2) distance = rate x time. In this problem d = 540 and t = 3, so the rate must be 540/3 = 180 mph. Thus, in terms of time, t, the distance the plane has traveled is d = 180t
3) What the agent receives each week is 250 + 2% of the sales, so that is y = 250 + .02x.
4) If it went from 36000 to 2000 it decreased in value 34000. Since it did this in 10 years, that's 3400/yr. If t represents the number of years that have elapsed since the purchase, the values of the machine is given by V = 36000 - 3400t.
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