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Basic skills review unit assignment
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Part 1 - Communication problems:Question 1:
a) An airplane needs to travel 400 km. Determine a function for the speed of the airplane, with
respect to time.
Distance travelled by plane = 400km
Let D be distance in km
Let t be time in hours
Let s be speed in km/h
𝑑 400
s(t)= 𝑡 = 𝑡
b) An ice cream cone is left sitting in the hot sun. Sarah notices that the ice cream melts and
loses half of its volume every 5 minutes. If the starting volume was 125 mL, determine a
function for the volume, with respect to the amount of time left out in the sun.
Volume of icecream cone = 125 ml
Let v be volume in ml
Let t be time in minutes
𝑡
v(t)=125 (2) 5
c) Scott wants to calculate the distance from his house to each of his friends' houses. If he drives
at 50 km/h, find a function for the distance, with respect to the number of hours it takes to travel.
Speed of Scott is 50km/h
Let s be speed in km/h
Let d be distance in km
Let t be time in hours
d(t) = 50(t)
Question 2
2
a) p=2𝑟 + 2𝑟 − 1 :
2
P+1 = 2(𝑟 + 𝑟) =
1 2 1
P+1=2[(r+ 2 ) − 4
] =
1 2 1
P+1=2(r+ 2 ) − 2
=
1 1 2
P+1+ 2 = 2(r+ 2 ) =
3
𝑦+ 2 1 2
2
= 2 (r+ 2 ) =
1 1 2
2
(𝑦 + 3) = (𝑟 + 2
) =
𝑦 3 1
+- 2
+ 4
= 𝑟 + 2
=
−1 1 𝑦 3
𝑟 = - 2 +− 2
+ 4
b) 3y+5x= 18
5y= 18-3x =
18−3𝑥
y= 5 =
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