10. Matador Wireless offers a data plan that charges \( \$ 10.00 \) a month for access, with no additional charge if usage is at or below 75 MB . If a customer exceeds 75 MB of data they are also charged 10 cents for each MB above 75 . If a customer exceeds 125 MB of data, they are charged 40 cents for each MB above 125 . a. What is the monthly cost to store 125 MB of data? b. Write a formula for the piecewise function of the cost function for storing \( x \mathrm{MB} \) of data a month. Fill in the boxes for the piecewise definition for the cost \( C(x) \) of storing \( x \) MB of data a month. \[ C(x)=\left\{\begin{array}{cc}10 & \text { if } 0 \leq x \leq 75 \\ 10+0.10(x-75) & \text { if } 75<x \leq 125 \\ 10+0.10(50)+0.40(x-125) & \text { if } x>125\end{array}\right. \]

14. Uttrycken nedan har samma positiva värde på \( a \). Vilka tal ska stå i rutorna så att likheterna stämmer? \( a^{\frac{1}{3}}=\square \quad a^{\frac{2}{3}}=9 \)

Find the nth term of the geometric sequence whose initial term is \( a_{1}=5 \) and common ratio is 10 . \( a_{n}=\square \) Next Question answer must be a function of \( n \).) .

Use the elimination method to find all solutions of the system: \( \left\{\begin{array}{l}x^{2}-2 y=7 \\ x^{2}+5 y=14\end{array}\right. \) The two solutions of the system are: (the one with \( x<0 \) is) \( x=\square \) \( y=\square \) (the one with \( x>0 \) is) \( x=\square \) \( y=\square \)

5. Bestäm värdet på \( a \) så att olikheten \( 2 x-a<5 \) har lösningen \( x<7 \)

Question 2 of 25 After the drama club sold 100 tickets to a show, it had \( \$ 300 \) in profit. After the next show, it had sold a total of 200 tickets and had a total of \( \$ 700 \) profit. Which equation models the total profit, \( y \), based on the number of tickets sold, \( x \) ?