A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of the sand dune after x years. Which equation represents the situation?

y = negative StartFraction 1 Over 20 EndFraction x minus 5
y = negative StartFraction 1 Over 20 EndFraction x + 5
y = negative 20 x minus 5
y = negative 20 x + 5

6 answers

y = negative StartFraction 1 Over 20 EndFraction x + 5
Kelsey graphed the equation y = 3x + 1 as shown below.

On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).

Which describes Kelsey’s error?
Kelsey graphed the y-intercept on the x-axis.
Kelsey graphed –3 instead of 3 as the y-intercept.
Kelsey graphed the slope as up 1 right 1 instead of up 1 left 1.
Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
Kelsey graphed -3 instead of 3 as the y-intercept.
The equation y = negative StartFraction 1 Over 20 EndFraction x + 10 represents the gallons of gasoline that remain in Michelle’s car after she drives x miles. Which graph represents this equation?
A graph titled Driving has total miles traveled on the x-axis and gallons of gasoline on the y-axis. A line goes through points (0, 10) and (40, 8).

A graph titled Driving has total miles traveled on the x-axis and gallons of gasoline on the y-axis. A line goes through points (0, 11) and (80, 8).

A graph titled Driving has total miles traveled on the x-axis and gallons of gasoline on the y-axis. A line goes through points (0, 12) and (125, 6).

A graph titled Driving has total miles traveled on the x-axis and gallons of gasoline on the y-axis. A line goes through points (0, 10) and (150, 0).
A graph titled Driving has total miles traveled on the x-axis and gallons of gasoline on the y-axis. A line goes through points (0, 10) and (40, 8).
Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?
On a coordinate plane, a line goes through points (0, 3) and (3, 0).
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).
On a coordinate plane, a line goes through points (negative 1, 2) and (0, negative 1).