Audrey can drive 150 miles on 6 gallons of gas,and 225 miles on 9 gallons of gas.write an equation for the distance,d, that audrey can drive on g gallons of gas.
I think you have to find the unit rate which is 25 miles on 1 gallon of gas
25d = g
To write an equation for the distance (d) that Audrey can drive on g gallons of gas, we can use the concept of proportionality.
We are given two data points:
1. Audrey can drive 150 miles on 6 gallons of gas.
2. Audrey can drive 225 miles on 9 gallons of gas.
We can see that the distance (d) is directly proportional to the amount of gas (g) Audrey has. This means that the ratio of distance to gas is constant.
Let's set up the proportion:
Distance / Gas = Constant
Using the first data point, we get:
150 miles / 6 gallons = Constant
Simplifying, we find the constant as:
Constant = 150 miles / 6 gallons = 25 miles/gallon
Now, we can use the constant in the equation to represent the relationship between distance and gas:
d = Constant * g
Substituting the constant value, we have:
d = 25 miles/gallon * g
Simplifying the equation gives us the final equation:
d = 25g
Therefore, the equation for the distance (d) that Audrey can drive on g gallons of gas is d = 25g.