Slope-Intercept Form of a Line Writing an Equation to Represent a Real-World Problem

Which graph represents the function y = x - 2?

C

Which function will have the steepest graph?

y = 5/2x

The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y=1/10x+60 A nonmember pays $0.20 per game token, but no yearly fee.

y=1/5x

A coordinate plane with a line passing through (negative 3, negative 5), (0, 1), and (2, 5). A function f(x) is graphed. What is the slope of the function? What is the y-intercept of the function? Which equation represents the graph of the function?

1) m=2 2)b=1 3) y=2x+1

When Janelle woke up, it was -3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario?

C g(x)

Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.

Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? y = -3/4x+36

The yearly cost in dollars, y, at a video game arcade based on total game tokens purchased, x, is y = y equals y= 1/10x +60 for a member and y = y= 1/5x. x for a nonmember. Explain how the graph of a nonmember's yearly cost will differ from the graph of a member's yearly cost.

What did you include in your response? Check all that apply. The graph of a nonmember's yearly cost is steeper. The graph of a nonmember's yearly cost has a lower y-intercept. The graph of a member's yearly cost starts higher, but is less steep.

A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game tokens can be purchased by members at the reduced rate of $1.00 per 10 tokens. Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers.

The y-intercept of the function is $60. The function can be represented by the equation y = 1/10x+60 The range is {y| y ≥ 60}.