Comparing Costs

Front

What is the y-intercept in a cost function?

Back

The y-intercept represents the initial cost when the number of months (x) is zero.

Front

In the cost function y = mx + b, what does 'm' represent?

Back

'm' represents the slope, which indicates the rate of change of cost per month.

Front

What does the slope of a cost function tell you?

Back

The slope indicates how much the cost increases for each additional month.

Front

If a cost function is y = 50x + 60, what does the '60' represent?

Back

The '60' represents the initial cost when no months have passed.

Front

How do you determine which location has a higher cost after a certain number of months?

Back

Substitute the number of months into both cost functions and compare the results.

Front

What does the solution (1, 110) mean in the context of cost functions?

Back

It means that after 1 month, the total cost at both locations is $110.

Front

In the equation y = 100x + 10, what does 'y' represent?

Back

'y' represents the total cost after 'x' months.

Front

What is the initial cost at Location B if the cost function is y = 100x + 10?

Back

The initial cost is $10.

Front

If Location A has a cost function of y = 50x + 60, what is the cost after 2 months?

Back

The cost after 2 months is $160.

Front

How do you find the cost at Location B after 2 months if the cost function is y = 100x + 10?

Back

Substitute x = 2 into the function: y = 100(2) + 10 = $210.