The championship is over in two days. After the first day, his score is -150. Ten minutes into the second day his score is -210. Assume that his score continues to change at the same rate for the whole second day. Whats the expression
To find the expression for his score at any point during the second day, we need to determine the rate of change in his score.
Given that his score is -150 at the end of the first day and -210 ten minutes into the second day, we can calculate the rate of change as follows:
Change in score = New score - Initial score
Change in score = -210 - (-150)
Change in score = -210 + 150
Change in score = -60
So, there is a decrease in score of 60 points during the first ten minutes of the second day.
Since the rate of change remains constant throughout the second day, we can assume that the score will continue to decrease by 60 points for every ten-minute interval.
Therefore, the expression for his score at any point during the second day can be represented as:
Score = -210 - (Number of ten-minute intervals) * 60
For example, if we want to find his score after 30 minutes into the second day, we can substitute the number of ten-minute intervals as 3:
Score = -210 - (3) * 60
Score = -210 - 180
Score = -390
Thus, his score after 30 minutes into the second day would be -390.