To gain more customers, the owners of Harrold's Hobby Shop advertised their new train set for \( 50 \% \) off with the purchase of a \( \$ 10 \) membership card. The next month, after not receiving much business, they advertised the train set for \( 75 \% \) off with the purchase of a \( \$ 20 \) membership card. Bonnie, always the thrifty shopper, realized that the total price of the train set and membership card did not change. What is the price of the train set without any discounts?

c) \( x+1+6 x=29 \)

The total sales of a company (in millions of dollars) t months from now are given by \( \mathrm{S}(\mathrm{t})=0.03 \mathrm{t}^{3}+0.8 \mathrm{t}^{2}+2 \mathrm{t}+9 \). (A) Find \( S^{\prime}(t) \). (B) Find \( S(5) \) and \( S^{\prime}(5) \) (to two decimal places). (C) Interpret \( S(11)=167.73 \) and \( S^{\prime}(11)=30.49 \). (A) \( S^{\prime}(\mathrm{t})= \) \( \qquad \) (B) \( \mathrm{S}(5)= \) \( \square \) \( S^{\prime}(5)= \) \( \square \) (C) Choose the correct interpretation of \( S(11)=167.73 \). A. The total sales 11 months from now will be \( \$ 167.73 \) million dollars. B. In approximately 168 months the sales will be increasing by \( \$ 11 \) million per month. C. In approximately 168 months the sales will be \( \$ 11 \) million dollars. D. In 11 months the sales will be increasing at a rate of \( \$ 167.73 \) million per month. Choose the correct interpretation of \( S^{\prime}(11)=30.49 \) A. The total sales 11 months from now will be \( \$ 30.49 \) million dollars. B. In 11 months the sales will be increasing at a rate of \( \$ 30.49 \) million per month.

Question Solve: \( (12 q-3)(q-5)=0 \)

A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at \( \$ 8 \) the average attendance has been 29000 . When the price dropped to \( \$ 5 \), the average attendance rose to 34000 . Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? \$

Question For the function, solve and find the \( x \)-intercepts of the graph of the function. \( f(x)=6 x^{2}-7 x-5 \) Provide your answer below: