1. Suppose you drive your car on a perfectly flat road at a constant speed with no wind. In this case, the amount of fuel, y, (in litre) needed is directly proportional to the distance travelled, x (in kilometre). (a) If the distance travelled increase, what can we say about the amount of fuel needed? (b) If the relationship is given by y = 0.05x and x increase by 50 km, how much does y increase? (c) Now, suppose it takes 12 litre of fuel to travel 282 km. Find the constant of proportionality.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
1. Suppose you drive your car on a perfectly flat road at a constant speed with no wind. In this
case, the amount of fuel, y, (in litre) needed is directly proportional to the distance travelled,
x (in kilometre).
(a) If the distance travelled increase, what can we say about the amount of fuel needed?
(b) If the relationship is given by y = 0.05x and x increase by 50 km, how much does y
increase?
(c) Now, suppose it takes 12 litre of fuel to travel 282 km. Find the constant of proportionality.
(d) In words, describe the meaning of this constant of proportionality.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
