a) The given information in two coordinate pairs in the form (h, g) is: (6, 1.5)
b) The slope between the two coordinates is: -1.05
How to find the slope?
We know that after 1 hour of driving, Katie had 6.75 gallons of gas.
Also, after 6 hours of driving, she had 1.5 gallons left.
a) We can write these values as coordinate points, on the form:
Thus, the phrase: "after 1 hour of driving, Katie had 6.75 gallons of gas." can be represented as the point: (1, 6.75)
And: "After 6 hours of driving, there was only 1.5 gallons left" will have the point: (6, 1.5)
b) We can find the slope of a linear function that passes through those two points. Then;
m = (y₂ - y₁)/(x₂ - x₁)
m = (1.5 - 6.75)/(6 - 1)
m = -1.05
Complete question is:
Katie noticed that after 1 hour of driving, she had 6.75 gallons of gas. After 6 hours of driving, there was only 1.5 gallons left. (Hint: Leave your answers as decimals).
A.) Represent the information as two coordinate pairs in the form of (h, g), where h is the number of hours driven and g is the gallon of gas left.
B.) Calculate the slope between the two coordinates.