Question

1.You have recently found a location for your bakery and have begun implementing the first phases of your business plan. Your budget consists of an $80,000 loan from your family and a $38,250 small business loan. These loans must be repaid in full within 10 years.
a)What integer would represent your total budget?

b)Twenty-five percent of your budget will be used to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve.

c)How much money will rent and utilities cost? Explain how you arrived at this answer.

d)Suppose an investor has increased your budget by $22,250. The investor does not need to be repaid. Rather, he becomes part owner of your business. Will the investor contribute enough money to meet the cost of rent and utilities? Support your answer, and write an equation or inequality that illustrates your answer.

e)This equation illustrates your remaining funds after paying for rent and utilities. How much money is left? Explain how you arrived at your answer.

$38,250 + $80,000+ $22,250-0.25($80,000 + $38,250) =

Answer 1

c) rent and utilities cost (1/4)($80,000 + $38,250) = $29,562.50
d) The new investor contriutes less than (c), since 22,250 < 29,562.50
e) This equation explains itself.
(Initial Loan Sum) + (additional investor contribution) - (rent and utilities)

Just perform the calculation.

Answer 2

e)This equation illustrates your remaining funds after paying for rent and utilities. How much money is left? Explain how you arrived at your answer.