Question

which situation can be represented by this equation?
$7x + 1 = 10x$

1. brody ran at a constant rate of 7 miles per hour to a near - by park. candice ran at a constant rate of 10 miles per hour in the same starting point. what is $x$, the number of hours that brody and candice would have to run in order for their distance to be the same?
2. brody played a game where he scored 8 points per hour. candice played the same game and scored 10 points per hour. what is $x$, the number of hours that brody and candice would have to play the game in order for their scores to be the same?
3. brody went to two different amusement parks. the first park charged $7 per hour and gave a $18 discount for showing a student id. the other park charged $10 per hour. what is $x$, the number of hours that brody would need to stay at each park to have the same amount?
4. brody rode his bicycle on two different days. the first day he rode 7 miles on his bicycle and started 1 mile from his house. the second day he started from his house and rode 10 miles per hour. what is $x$, the number of hours that brody would need to ride his bicycle to travel the same distance on both days?

Explanation:

Step1: Analyze first scenario

Distance for Brody: $7x$, Distance for Candice: $10x + 1$. Equation would be $7x=10x+1$, not matching.

Step2: Analyze second scenario

Score for Brody: $8x$, Score for Candice: $10x$. Equation would be $8x=10x$, not matching.

Step3: Analyze third scenario

Cost for first park: $0.99\times7x$, Cost for second park: $10x$. Equation would be $6.93x=10x$, not matching.

Step4: Analyze fourth scenario

Distance on day1: $7x + 1$, Distance on day2: $10x$. Set equal: $7x + 1 = 10x$, matches the given equation.

Answer:

The correct scenario is: Brody rode his bicycle on two different days. The first day he rode 7 miles per hour and started 1 mile from his house. The second day he started from his house and rode 10 miles per hour. What is x, the number of hours that Brody would have to ride his bicycle to travel the same distance on both days?