Final answer:
The rate of change is 10 dollars per dress, hence the cost for 15 dresses is 150 dollars.
Step-by-step explanation:
The question involves finding the rate of change and the cost of 15 dresses given that Brenda bought 10 dresses for 100 dollars. This can be viewed as a straightforward linear relationship where the number of dresses is the independent variable and the total cost is the dependent variable.
To find the rate of change, which is the cost per dress, we divide the total cost by the number of dresses:
Rate of change = cost of dresses / number of dresses
Rate of change = 100 dollars / 10 dresses
Rate of change = 10 dollars per dress
After finding the rate of change, we can calculate the cost for 15 dresses by multiplying the rate of change by 15:
Cost of 15 dresses = rate of change * 15
Cost of 15 dresses = 10 dollars per dress * 15 dresses
Cost of 15 dresses = 150 dollars