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If the number of wrecks varies directly as the number of cars that travel through the intersection, then we can write the relationship as:
wrecks = k * cars
where k is a constant of variation.
We are given that when 1,085 cars have traveled through the intersection, there are 31 wrecks. Substituting these values into the equation above, we get:
31 = k * 1085
To find the value of k, we can divide both sides of the equation by 1085:
k = 31 / 1085 = 0.028571429
Now we can use this value of k to find how many cars have passed through the intersection after 7 wrecks. Substituting the values into the equation, we get:
7 = 0.028571429 * cars
To solve for cars, we can divide both sides of the equation by 0.028571429:
cars = 7 / 0.028571429 = 245
Therefore, 245 cars have passed through the intersection after 7 wrecks.