HW question very difficult math algebra 2?
this question is so easy yet hard, i know how to do it but it doest look right.
you are taking part in a charity walk a thon where u can either walk or run. you walk at four kilometers per hour and run at 8 kilometers per hour. the walkathon last 3 hours. money is raised based on the total distance you t ravel in the three hours. ur sponsors donate 15 dollars for every kilometer u travel. write an expression that gives the total amount of money u raise. evaluate the expression if u walk for two hours and run for one
OHH MYH AND!!
15[2(4) + 1(8)]
15(16)
$240
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15[2(4) + 1(8)]
15(16)
$240
References :
5
References :
total time you have is 3 hours.
Money = 15 $/km * D = 15 * (8 kmph * (t) + 4 kmph * (3-t))
where t is time used in running and (3-t) is time used for walking.
Money = 15 *[(2 hr * 4 km/hr) + (1 hr * 8 km/hr)]
= 15 * 16
= 240 $
References :
This is more of a difficult algebra 1 problem than an algebra 2 problem. Let TR= time spent running at the "walkathon". Then 3-TR=time spent walking at the"walkathon". Since d= Rate*Time and Donation=$15 per kilometer, the distance traveled is DT= 8*TR + 4*(3-TR) and the money raised is 15 DT = 60*TR+180.
References :
4(2)+8(1)=x
8+8=x
16=x
15(16)= money raised
$240
References :
The three above me nailed it, so I won't repeat myself.
References :
Use the formula Distance = speed x duration
Let w be the walking time
Distance walked = 4w
and r be the running time
Distance run = 8r
Total distance = 4w + 8r
(w+r) = 3 if you need to use only 1 variable.
total distance = 4w + 8(3-w) = 24 – 4w
Amount of money u = 15(24 – 4w) = 15 x16 = 240
References :
we are asked to "write an expression that gives the total amount of money u raise"
based on the following info
15 dollars for every kilometer u travel
(donation rate=15USD/km)
the walkathon lasts only 3 hours
and your rates of travel are
walk=4km/hr, and run=8km/hr
let t = total time in hours you walk
we assume that you run the rest of the time
(i.e. no stops to rest)
then time you run is (3 – t)
thus total disance you travel is
distance = walk rate * t + run rate * (3-t)
the amount your sponsors pay will be:
donation = $15/km * distance
donation = $15/km * [4km/hr * t + 8km/hr * (3hr - t)],
where t = time in hours walked
if you walk for two hours, then t=2 hours, so evaluate:
donation = 15*[4*2+8*1] = 15*16 = $240
References :
(d distance, t time, v velocity)
velocity for walking
v = 4km/hr
velocity for running
v = 8km/hr
formula for velocity
v = d/t
walking
d = vt
d = (4km/hr)(2hr)
d = 8km
running
d=vt
d=(8km/hr)(1hr)
d=8km
total distance = walking + running
total distance = 8km + 8km
total distance = 16km
donation = 15dollars/km
total donation = 15dollars/km * 16km
total donation = 240 dollars
References :
(8r+4w)*15=T
r= time running (hr)
w=time walking (hr)
T=total money raised
If you enter your walking and running times in minutes you will have to change the equation to:
[(8r+4w)/60] * 15=T
References :