Question

At the fabric 1 yard of white material costs $2, and 1 yard of blue material costs $6. let x represent the number of yards of white fabric purchased and y represent the number of yards of blue fabric purchased. But the budget to spend is $18, Write an equality that determines how many yards of each type of fabric can be bought without exceeding the budget.

Answer 1

cost of the white fabric is 2$ for 1-yard

cost of blue fabric is 6$ for 1 yard.

W = 2x and B = 6x

here x is the length of fabric and W and B is the total cost of white and blue fabric respectively

add both the equation

W + B = 2x + 6x

W +B = 8x

and it is given the budget is 18 $

so total cost W+B will be equal or less than the 18 $

so

`\begin{gathered} W+B\leq18 \\ 8x\leq18 \\ x\leq(18)/(8) \\ x\leq(9)/(4) \end{gathered}`

so the answer is x <= 9/4

we have two-equations of line

y = 2x

now for x = 1 , y = 2(1) = 2

so point (x,y) is (1, 2)

now for x = 2, y = 2 (2) = 4

so point (x,y) is (2,4)

now the other line is

y = 6x

put x = 1 ,

y = 6(1) = 6

so the point (x,y) is (1, 6)

put x = 2

y = 6(2) = 12

point (x,y) is (2, 12)