Final answer:
To calculate the percent increase in distance when the speed is increased by 30% and the time is increased by 50%, we can use the formula Distance = Speed x Time. After calculating the new distance, we can find the percent increase using the formula (new_d - d) / d x 100. In this case, the percent increase is 95%.
Step-by-step explanation:
To calculate the percent increase in distance when the speed is increased by 30% and the time is increased by 50%, we need to understand the relationship between speed, time, and distance. In this case, since the car is moving at a constant rate, we can use the formula:
Distance = Speed x Time
Let's say the original speed is 's' and the original time is 't', and the distance is 'd'. When the speed is increased by 30%, the new speed is '1.3s'. When the time is increased by 50%, the new time is '1.5t'.
Using the formula, the original distance can be calculated as 'd = s x t', and the new distance can be calculated as 'new_d = 1.3s x 1.5t = 1.95st'. To find the percent increase, we can use the formula:
Percent Increase = (new_d - d) / d x 100
Substituting the values, we get:
Percent Increase = (1.95st - st) / st x 100
Simplifying the expression, we get:
Percent Increase = 95%