The cost of one pencil is $3, and the total cost of three pencils is $9. which of the following is true?
a.
the number of pencils and the total cost are in a proportional relationship because the cost does not increase with the number of pencils.
b.
the number of pencils and the total cost are in a proportional relationship because the cost of zero pencils is $0, and each pencil costs $3.
c.
the number of pencils and the total cost are in a proportional relationship because the cost of zero pencils is $0 and it does not increase proportionally with the number of pencils.
d.
the number of pencils and the total cost are in a proportional relationship because the cost increases with the number of pencils.

The number of pencils and the total cost are in a proportional relationship because the cost of zero pencils is $0 and each pencil costs $3.

Step-by-step explanation:

The graph of a proportional relationship is represented by a straight line that passes through the origin, (0,0).

In this case, the cost of zero pencils is $0. So, the graph will include the point (0,0). Also, the cost of pencils increases proportionally with the number of pencils.

Therefore, the number of pencils and the total cost are in a proportional relationship because the cost of zero pencils is $0 and each pencil costs $3.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17