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Help with linear equations...?


I'm Asking for help, not answers. Thanks.

A realestate office handles and apartment complex w/ 50 units. when the rent is $580/month all 50 units are used. when the rent is $625 the avg. # of units occupied drops to 47. the relationship between the monthly rent (p) and the demand (x) is linear. (demand refers to the # of occupied units)

i just need help starting to write a linear equation for this problem. I understand the the slope of the line will be 15, but i have no clue where to go from there, any HELP (not answers) would be greatly apprectiated. thanks.

let x = mp +b
when p=580, x=50 p1=580 x1=50
when p=625, x=47 p2=625 x2=47
slope=(x2-x1)/(p2-p1) =-3/45=-1/15
x=-(1/15)p+b
50 =(-1/15)580+b
b=50+580/15=50+38.67=88.87
x=(-1/15)p+88.67 (linear equation)
slope is -1/15, as the rent increases, demand decrease. Slope must be negative.

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