Answer:
If she drives at 70 mph, she would travel approximately 301 miles.
Explanation:
Consider 465. In a direct variation, the relationship between the variables can be represented by the equation y = kx, where k is the constant of variation.
Given that y = 9 when x = 3, we can substitute these values into the equation to find the value of k:
9 = k * 3
Solving for k:
k = 9 / 3
k = 3
Now that we have the value of k, we can find x when y = 21:
21 = 3x
Solving for x:
x = 21 / 3
x = 7
Therefore, when y = 21, x is equal to 7.
Consider 466.In an inverse variation, the relationship between the variables can be represented by the equation y = k/x, where k is the constant of variation.
Given that y = 20 when x = 2, we can substitute these values into the equation to find the value of k:
20 = k / 2
Solving for k:
k = 20 * 2
k = 40
Now that we have the value of k, we can find y when x = 4:
y = 40 / 4
y = 10
Therefore, when x = 4, y is equal to 10.
Consider 467. In this scenario, the distance, d, varies directly with the speed, v. We can represent this relationship using the equation d = kv, where k is the constant of variation.
Given that she travels 258 miles driving 60 mph, we can substitute these values into the equation to find the value of k:
258 = k * 60
Solving for k:
k = 258 / 60
k ≈ 4.3
Now that we have the value of k, we can find the distance she would travel going 70 mph:
d = 4.3 * 70
d ≈ 301
Therefore, if she drives at 70 mph, she would travel approximately 301 miles.