Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Answer:
12.5 meters
Explanation:
Given
[tex]J(t) = -8t + 200[/tex] --- Jasen
[tex]M(t) = -7.5t + 200[/tex] --- Mary
Required
Determine the number of metres left for Mary when Jason finishes
When Jasen finishes the race;
[tex]J(t) = 0[/tex] -- Because Jasen is already at the stoppage
So, we need to calculate time spent by Jasen to get to the finished line.
[tex]J(t) = -8t + 200[/tex]
Substitute 0 for J(t)
[tex]0 = -8t + 200[/tex]
Collect like terms
[tex]8t = 200[/tex]
Solve for t
[tex]t = \frac{200}{8}[/tex]
[tex]t = 25[/tex]
What this implies is that: we want to get Mary's distance at time; [tex]t = 25[/tex]
Substitute 25 for t in [tex]M(t) = -7.5t + 200[/tex]
[tex]M(25) = -7.5 * 25 + 200[/tex]
[tex]M(25) = -187.5 + 200[/tex]
[tex]M(25) = 12.5[/tex]
Hence, Mary has 12.5 metres left
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.