Question

The function 1.5x + 0.5y = 12 represents the number of hardcover books x and softcover books y you can buy at a used book sale. a. Solve the equation for y. b. Make an input-output table to f nd ordered pairs for the function. c. Plot the ordered pairs in a coordinate plane.

Answer 1

The function 1.5x + 0.5y = 12 represents the number of hardcover books x and softcover books y you can buy at a used book sale.

(a) solve for y

We need to isolate y

1.5x + 0.5y = 12

Subtract 1.5x on both sides

0.5y = 12 - 1.5x

Divide by 0.5 on both sides

$y = \frac{12}{0.5} - \frac{1.5}{0.5}$

y= 24 - 3x

(b) Table for y= 24 -3x

x -----> y

0 -----> 24

1 ------> 21

2-------> 18

The ordered pairs are (0,24) (1,21)(2,18)

(c) Graph is attached below