Acar is moving at a fixed speed. the distance d that the car covers is then directly proportional to the time t it moves. if d=20 miles when t=15 minutes, write a proportion to find d for t=20 minutes

We were told that the distance is directly proportional to the time .

We write this mathematically as,

We can now introduce our constant of variation and write the equation for the direct equation as;

where is the constant of variation or constant of proportionality.

We substitute and , in to the equation of variation to obtain the constant of proportionality.

That is;

This implies that,

This simplifies to give us,

Now our equation of proportion becomes,

When T=20

Writing this as a mixed number we obtain,

This can also be rewritten as

correct to one decimal places.

Therefore the care covers miles in minutes.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

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