Linear Relationships

The value of the output when the input is 0, or the y-intercept of the graph of a line.

• initial value

• nonlinear function

• constant rate of change

• interval

• function

What is the initial value?

Function: y=-3x+2

What is the rate of change?

Sally will earn $6 for every hour that she babysits. Which of the following equations can be used to represent y, the total amount of money she'll earn in x hours?

• x = 6 + y

• x = 6 y

• y = 6 + x

• y = 6x

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7.4.A

Which graph correctly displays the data from the table?

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7.7

What is the constant of proportionality for the table above?

• No C.O.P

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7.4.C

Which statement matches the graph?

• Taylor can write 6 words per minute

• Taylor can write 25 words per minute

• Taylor can write 50 words per minute

• Taylor can write 150 words per minute

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7.4.A

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

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7.7

Lake Highlands Junior High has a dance every year. It costs $5.00 to get in and snacks are $0.75 each.

Which graph represents the relationship between the number of snacks purchased, x, and total spent at the dance, y.  (pay attention to axis labels)

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7.7

Billy opened a bank account with $200, and every week he spends $15.

Which equation best represents this situation?

• y = -15x + 200

• y = 15x - 200

• y = 200x + 15

• y = 15x + 200