Howard puts $100 each month in a safe in his house to save for his daughter's college education. if he never takes money out of the safe, what does the graph of his investment look like before his daughter goes to college?

D). Linear with a positive slope.

Step-by-step explanation:

Let x be the number of months.

We have been given that Howard puts $100 each month in a safe in his house to save for his daughter's college education. So the amount saved by Howard in x months will be 100x.

Since the initial amount is 0, so we can represent this information in slope-intercept form of equation we will get,

, where, y represents the total amount of money saved after x months.

As Howard saves $100 each month, so slope of our line will be 100. Therefore, the graph of Howard's investment will be a linear function with a positive slope (100) and option D is the correct choice.