Z is directly proportional to x, that means :
z = k.x, with k is the coefficient of proportionality:
Let calculate k:
When x = 5, z = 55. Plug in:
55 = k.5 → k=55/5 ; k =11
The value of z when = 12 is : z= kx; z = 11(12) and z = 132
A coefficient of r = -1 is a negative so the dots would move downward as they move to the right ( higher dots are on the left side, lower dots on the right side. As the coefficient gets closer to -1 the dots form more of a straight line then being scattered across the graph.
The last graph, which is marked with the blue dot is the correct one.
Answer: 20%
Step-by-step explanation:
Answer: Rectangle
Reasoning: 4 straight sides, 2 pairs of sides of equal length.
Answer: The break even point is when they have sold 16 books and have made $288
Step-by-step explanation: The costs are modeled in the equation y = 12x + 96. x is the number of books sold.
The earnings are modeled by he equation y = 18x.
Substitute 18x for y and solve for x.
18x = 12x + 96 Subtract 12x from both sides.
6x = 96 Divide both sides by 6
x = 16
Substitute into the original equations to solve for y
y = 12(16) + 96
y = 192 + 96
Y = 288
y = 18(16)
y = 288
