Y is proportional to X. Use x and Y values to find a linear model that relates t

Question

Y is proportional to X. Use x and Y values to find a linear model that relates to y and x.

12) x=11, y=1.5

13) An item sells fro $145.99 has a sales tax of $10.22. (a) find mathematical model that gives amount of sales tax y in terms of retails price x. (b) Use the model to find the sales tax on a purchase of $540.50.

14) Monthly rent is $750 for 600 sf. Rent for 900 sf is $1150. (A) write linear equation giving the monthly rent in terms of sf x. (B) use equation to find monthly rent for office 1300 sf in size.

Explanation / Answer

12) y = kx; 1.5 = k(11); k = .136 y = .136x 13) (a) y = kx; 10.22 = k(145.99); k = .07; y = .07x (b) y = .07(540.50) = 37.835 --> rounds to $37.84 14) (A) y = kx; 750 = k(600); k = 1.25; y = 1.25x (B) y = 1.25(1300); y = 1625; $1625.00

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