A car travels at a speed of 50 miles per hour for 3 hours. Would the graph that describes this situation be continuous or discrete?

Continuous.

Step-by-step explanation:

A continuous data is any data set having a finite or infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.

Hence, the speed of a car that travel 50 miles per hour for 3 hours represents a continuous data because the data can take on any value in an interval.

On the other hand, a discrete data is any data set in which the number of possible values are either finite or countable. Thus, a discrete data can only take on specific values. For example, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

In this scenario, a car travels at a speed of 50 miles per hour for 3 hours.

Hence, the graph that describes this situation is continuous and each point are connected through a continuous line.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

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step-by-step explanation: