Math Models Midterm Exam 2024

Front

What does it mean for two quantities to vary directly?

Back

Two quantities vary directly when an increase in one quantity results in a proportional increase in the other quantity. This relationship can be expressed as y = kx, where k is a constant.

Front

If the shadow of an object is 27 feet when the height is 12 feet, what is the height of the object if the shadow is 18 feet?

Back

8 feet

Front

What does it mean for two quantities to vary inversely?

Back

Two quantities vary inversely when an increase in one quantity results in a proportional decrease in the other quantity. This relationship can be expressed as y = k/x, where k is a constant.

Front

If it takes 9 days for 8 workers to complete a job, how many workers would it take to do the job in 18 days?

Back

4 workers

Front

What is Newton's 2nd Law of Motion?

Back

Newton's 2nd Law states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).

Front

What force is required to accelerate a 10 kg bowling ball at a rate of 3 m/s²?

Back

30 N (Newtons)

Front

What is the formula for Ohm's Law?

Back

Ohm's Law states that Voltage (V) equals Current (I) multiplied by Resistance (R), expressed as V = IR.

Front

If a current consists of a 12 volt battery and the current is 3 amps, what is the size of the resistor?

Back

4 ohms

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the equivalent equation of 3x - 4y = 6 in slope-intercept form?

Back

y = \frac{3}{4}x - \frac{3}{2}.