Question

3. Crystal has decided to drive her new car on the west coast from California to Washington, which is about 930

miles. She plans to drive her car an equal number of miles per day.
The number of days it will take her to get to Washington can be represented as a function of the distance
traveled per day. This function can be represented by the function (d) where W(d) is the number of
days it will take to get to Washington, and d is the distance traveled per day measured in miles per day.
=930/d
Select Yes or No to indicate whether the graph represents the number of days it will take Crystal to get to
Washington in her car, as a function of the distance traveled per day.

Answer 1

The correct option is the first graph (Yes)

Explanation:

The given function is W(d) = 930/d

Where;

W(d) = The number of days it would take to get to Washington

d = The distance travelled each day in miles

We note that the given graphs have number of days in the y-axis and the miles in the x-axis, and that in the function, the distance Crystal travels each day is constant, d, while the 930 is the total distance from California to Washington, while W(d) is the time

Therefore, the variables for crystal are W(d) and the part of 930 miles completed, while the constant is the speed, d = miles/day, which gives;

W(d) = 930/d

W(d) ∝ Part of 930 miles completed × Constant

∴ W(d) which is the time is directly proportional to the distance

The graph which represents the number of days, W(d) it will take Crystal to get to Washington (miles completed) as a function of distance traveled per day, d, which is constant is a straight line graph which is the first graph