## Answers

(5) The curve can be shown as below. The equation is exponetial in nature as it uses exponents for calculations.

(6) A linear function can be used to estimate the equation as cost = 1345.6 + 42.691 (x) as shown in the diagram above. i.e., Y-intercept = 1345.6. Even when there is no production cost equals 1345.6, which can also be interpreted as the fixed cost.

(7) The domain of the function is (0, +infinite) which denotes the values of x that is feasible and the range is (1345.6, + infinite), which denotes the range of values the function can take.

(8) At a cost of 10,000, using the linear equation, we get x = (10000 - 1345.6)/42.691 = 202.7 (approximately).

Hence, approximately 202 bouncy balls can be produced with 10,000.

(9) When x = 120,000 we get cost using the linear equation as C = 1345.6 + 42.691 (120) = 6468.52.

Hence, it would cost 6468.52 to produce 120,000 bouncy balls.