Ebuka's monthly rent is $750. If Ebuka pays the rent late, his landlord charges 4% interest per week that the payment is late. Write a function that gives the total cost R(t), in dollars, of Ebuka's rent if he pays it t weeks late.
Q. Ebuka's monthly rent is $750. If Ebuka pays the rent late, his landlord charges 4% interest per week that the payment is late. Write a function that gives the total cost R(t), in dollars, of Ebuka's rent if he pays it t weeks late.
Identify base cost and interest rate: Identify the base cost and the interest rate. Ebuka's monthly rent is $750, and the interest rate is 4% per week for late payment.
Convert interest rate to decimal: Convert the interest rate from a percentage to a decimal. 4% as a decimal is 0.04.
Write total cost function: Write the function for the total cost R(t) of the rent when paid t weeks late.The interest for one week is 0.04 times the rent, so for t weeks, the interest is 0.04×$750×t.The total cost R(t) is the sum of the base rent and the interest.R(t)=base rent+(interest rate×base rent×number of weeks late)R(t)=$750+(0.04×$750×t)
Simplify the function: Simplify the function. R(t)=$750+($30⋅t)
Ensure correct form: Ensure the function is in the correct form to answer the question prompt.The function R(t)=$(750)+($(30)⋅t) correctly represents the total cost of the rent when paid t weeks late.