Writing Equations in Slope-Intercept Form from Real World Problems

What is the general form of the slope-intercept equation?

• y = ax^2 + bx + c

• y = mx + b

• y = mx^2 + b

• y = m/x + b

In the equation y = mx + b, what does 'm' represent?

• The slope

• The dependent variable

• The y-intercept

• The independent variable

If a water level decreases by 0.03 feet each day, what is the slope of the function?

• -0.3

• 0.3

• 0.03

• -0.03

Given the function w(x) = -0.03x + 675, what is the water level after 13 days?

• 673.61 feet

• 674 feet

• 675 feet

• 674.61 feet

A scuba diver is ascending at a rate of 3.5 feet per minute. What is the slope of the function representing this scenario?

• -3.5

• 3.5

• -0.35

• 0.35

If a scuba diver starts at -60 feet and ascends at 3.5 feet per minute, what is the depth after 8 minutes?

• 60 feet

• -60 feet

• -32 feet

• 32 feet

Oliver's hair grows at 0.07 inches per week. What is the function representing the length of his hair after x weeks?

• h(x) = 0.07x + 0.5

• h(x) = 0.1x + 0.5

• h(x) = 0.07x - 0.5

• h(x) = 0.1x - 0.5

How long will Oliver's hair be after 6 weeks if it grows at 0.07 inches per week?

• 0.42 inches

• 1.0 inches

• 0.92 inches

• 0.5 inches

Ella starts with 20 milliliters of coffee and drinks at a rate of 1/3 milliliter per minute. What is the function representing the amount of coffee left after x minutes?

• c(x) = -1/3x - 20

• c(x) = 1/3x - 20

• c(x) = 1/3x + 20

• c(x) = -1/3x + 20

How much coffee will Ella have left after 45 minutes if she drinks at a rate of 1/3 milliliter per minute?

• 5 milliliters

• 10 milliliters

• 0 milliliters

• 15 milliliters