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#1




supply and demand math problem HELP?
A real estate office handles an apartment complex with 70 units. When the rent is $405 per month, all 70 units are occupied. When the rent is $450, however, the average number of occupied units drops to 67. Assume that the relationship between the monthly rent p and the demand x is linear. (The term demand refers to the number of occupied units.) (a) Write a linear equation expressing x in terms of p.x = (b) Predict the number of occupied units when the rent is set at $480.(c) Predict the number of occupied units when the rent is set at $435.




#3




supply and demand math problem HELP?
(p, x) > Points: (405, 70)(450, 67)x = # of unitsp = cost of rentm = (67  70) / (450  405) = 1/15Using point slope formula, y = (x  h) + k:x = 1/15(p  405) + 70x = (1/15)p + 27 + 70x = (1/15)p + 97b) x = (1/15)(480) + 97x = 65 unitsc) x = (1/15)(435) + 97x = 68 units

#4




supply and demand math problem HELP?
more the rent lesser the number of occupied houses or p inversely propotional to x or p=k/x +C (k,C are constant)thus 405=k/70+C and 450=k/67+Cfrom these two equations 45=k(1/671/70) or k=70350so from first equation C=40570350/70=600so equation is p=70350/x600Rest can be calculated from equation

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