The two true statements are: Statement B: Julie will need to run 33 additional times to complete her goal. Statement E: Julie will need to use the equation 2 1/2 x + 19 = 100 to determine the number of times she needs to run to complete her goal. Here options B and E are correct.
Statement A: Julie has already run 19 miles, and she needs to run 100 miles in total. Therefore, she needs to run an additional 100 miles - 19 miles = 81 miles.
Statement B: Julie plans to run 2.5 miles each time. Therefore, she needs to run 81 miles / 2.5 miles/run = 32.4 runs. Since Julie cannot run parts of runs, we round 32.4 runs up to 33 runs.
Statement C: This statement is not true. We already calculated that Julie needs to run 33 additional times, not 48 times.
Statement D: This statement is incorrect. The equation to determine the number of times Julie needs to run should include the total number of miles she needs to run (100 miles), not subtract the miles she has already run (19 miles).
Statement E: This statement is correct. The equation 2.5x + 19 = 100 accurately represents the number of times Julie needs to run (x) to reach her goal of 100 miles, considering the 19 miles she has already run.
Statement F: This statement is incorrect. While the equation includes the correct number of miles per run (2.5 miles), it incorrectly adds the miles Julie has already run (19 miles) instead of subtracting them. Here options B and E are correct.
Complete question:
Julie set a goal to run 100 miles. She has already run 19 miles towards her goal, and plans to run 2 1/2 miles each times she runs to complete her goal. Which TWO statements are TRUE for this scenario?
A Julie will need to run 32 additional times to complete her goal.
B Julie will need to run 33 additional times to complete her goal.
C Julie will need to run 48 additional times to complete her goal.
D Julie will need to use the equation 2 1/2 x-19=100 to determine the number of times she needs to run to complete her goal.
E Julie will need to use the equation 2 1/2 x+19=100 to determine the number of times she needs to run to complete her goal.
F Julie will need to use the equation 2 1/2 (x+19)=100 to determine the number of times she needs to run to complete her goal.