4) Zachary runs steadily at 10km/hr. His distance can be modelled by the equation: y = 10x, where y gives his distance (km) in relation to time (hours). The kidnapper runs at 5km/hr (since he's carrying a princess), and is already 30km away when Zachary begins his pursuit. a) Give the equation for the kidnapper's distance (y) in relation to time (x) in Slope-intercept form (y = mx + b): Standard Form (Ax + By + C = 0): b) Use substitution or elimination to find the hours and kilometres it will take for Zachary to catch the kidnapper. Distance vs. Time time (hr) 5) Graph both Zachary and the kidnapper's distance equations on the grid below. Label the lines, and their point of intersection (give the coordinates). Hint: They should match your answer in #4. USE A RULER!
4) Zachary runs steadily at 10km/hr. His distance can be modelled by the equation: y = 10x, where y gives his distance (km) in relation to time (hours). The kidnapper runs at 5km/hr (since he's carrying a princess), and is already 30km away when Zachary begins his pursuit. a) Give the equation for the kidnapper's distance (y) in relation to time (x) in Slope-intercept form (y = mx + b): Standard Form (Ax + By + C = 0): b) Use substitution or elimination to find the hours and kilometres it will take for Zachary to catch the kidnapper. Distance vs. Time time (hr) 5) Graph both Zachary and the kidnapper's distance equations on the grid below. Label the lines, and their point of intersection (give the coordinates). Hint: They should match your answer in #4. USE A RULER!
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:4) Zachary runs steadily at 10km/hr. His distance can be modelled by the equation:
y = 10x, where y gives his distance (km) in relation to time (hours).
The kidnapper runs at 5km/hr (since he's carrying a princess), and is already 30km away
when Zachary begins his pursuit.
a) Give the equation for the kidnapper's distance (y) in relation to time (x)
In Slope-intercept form (y = mx + b):
Standard Form (Ax + By + C = 0):
b) Use substitution or elimination to find the hours and kilometres it will take for Zachary
to catch the kidnapper.
Distance vs. Time
time (hr)
5) Graph both Zachary and the kidnapper's distance equations on the grid below. Label
the lines, and their point of intersection (give the coordinates). Hint: They should match
your answer in #4. USE A RULER!
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