ACA Fall Final Review

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How do you find the constant of proportionality?

Back

The constant of proportionality can be found by dividing one quantity by the other in a proportional relationship.

Front

If a plumber charges $98 for parts and $45 per hour, how do you express the total cost?

Back

The total cost can be expressed as: 98 + 45x, where x is the number of hours worked.

Front

What does the equation y = 80x + 175 represent in a rental scenario?

Back

This equation represents the total cost (y) of renting a jet-ski, where $175 is the base fee and $80 is the hourly rate.

Front

How do you determine if a table represents a proportional relationship?

Back

Check if the ratios of corresponding values are equal; if they are, the relationship is proportional.

Front

What is the formula to find the total cost of a service with a fixed charge and a variable hourly rate?

Back

Total Cost = Fixed Charge + (Hourly Rate * Number of Hours) or C = F + rH.

Front

What is the meaning of the term 'constant of proportionality'?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

If a pizza company charges $3.00 per pizza and a $2.00 delivery charge, how is the total cost expressed?

Back

The total cost can be expressed as: 2 + 3p, where p is the number of pizzas ordered.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change between the two variables in the equation.

Front

How can you identify the fixed charge in a cost equation?

Back

The fixed charge is the value that does not change with the quantity, often the y-intercept in a linear equation.