Problem 33
A system of linear equations can be used to model the cost and the revenue of a business. Work Exercises \(33-36\) in order. Suppose that you start a business manufacturing and selling bicycles, and it costs you \(\$ 5000\) to get started. Each bicycle will cost \(\$ 400\) to manufacture. Explain why the linear equation $$y_{1}=400 x+5000$$ gives your total cost of manufacturing \(x\) bicycles.
Problem 34
At a business meeting at Panera Bread, the bill for two cappuccinos and three house lattes was 14.55 dollar. At another table, the bill for one cappuccino and two house lattes was 8.77 dollar. How much did each type of beverage cost?
Problem 43
In the 2008 Summer Olympics in Beijing, China, Russia earned 5 fewer gold medals than bronze. The number of silver medals earned was 35 less than twice the number of bronze medals. Russia earned a total of 72 medals. How many of each kind of medal did Russia earn?
Problem 55
Give \((a)\) the additive inverse and (b) the multiplicative inverse (reciprocal) of each number. $$ \frac{7}{8} $$
Problem 60
Solve equation. \(t+3(2 t-4)=-13\)