The table shows the average prices (in dollars) of jeans sold at different stores and the numbers of pairs of jeans sold at each store in one month. Is there a relationship between the average price and the number sold? Explain your reasoning.

$$\begin{matrix} \text{Average Price (dollars)} & \text{22} & \text{40} & \text{28} & \text{35} & \text{46}\\ \text{Number Sold} & \text{152} & \text{94} & \text{134} & \text{110} & \text{81}\\ \end{matrix}$$

When graphing a proportional relationship represented by y = mx, which point is not on the graph? A. (0, 0) B. (0, m) C. (1, m) D. (2, 2m)

Explain how you would solve a system of equations using elimination.

The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. (a) Find the initial population. (b) Write an exponential growth model for the bacteria population. Let represent time in hours. (c) Use the model to determine the number of bacteria after 8 hours. (d) After how many hours will the bacteria count be 25,000?

The table shows the high school and college grade point averages (GPAs) of 10 students. What college GPA do you expect for a high school student with a GPA of 2.7?

$$\begin{matrix} \text{High School} & \text{2.6} & \text{2.8} & \text{3.2} & \text{4.0} & \text{3.8} & \text{3.7} & \text{3.5} & \text{3.5} & \text{3.4} & \text{1.4}\\ \text{College} & \text{2.4} & \text{2.5} & \text{3.0} & \text{3.6} & \text{3.5} & \text{3.6} & \text{3.6} & \text{3.4} & \text{3.2} & \text{0.5}\\ \end{matrix}$$

Sales of sunglasses and beach towels at a store show a positive linear relationship in the summer. Does this mean that the sales of one item cause the sales of the other item to increase? Explain.

The table shows the weight of a baby over several months. a. Make a scatter plot of the data and draw a line of fit. b. Write an equation of the line of fit. c. Interpret the slope and the y-intercept of the line of fit. d. Predict how much the baby will weigh at 7 months.

$$\begin{matrix} \text{ Age (months)} & \text{Weight (pounds)}\\\text{1} & \text{8}\\\text{2} & \text{9.25}\\\text{3} & \text{11.75}\\ \text{4} & \text{13}\\ \text{5} & \text{14.5}\\ \text{6} & \text{16}\\ \end{matrix}$$

Describe the relationship you would expect between the data. Explain. Shoe size of a student and the student's IQ

Sketch the graph of the rational function. To aid in sketching the graphs, check for intercepts, symmetry, vertical asymptotes, and horizontal asymptotes. $g(s)=\frac{s}{s^{2}+1}$

Let $\log 2=a, \log 3=b,$ and $\log 5=c.$ Express the indicated logarithm in terms of a, b, and c. $\log 0.00003$

Solve the system. Explain your choice of method. x + 2y = -5; x - 2y = -5

Determine the truth of each statement. $\frac{x+3}{5}=\frac{x}{5}+3$

Suppose you take 100 mg of aspirin once per day. Assume the aspirin has a half-life of one day; that is, every day, half of the aspirin in your blood is eliminated. Assume $d_n$ eliminated. Assume $d_n$ is the amount of aspirin in your blood after the nth dose, where $d_{1}=100$. a. Find a recurrence relation for the sequence $\left\{d_{n}\right\}$. b. Assuming the sequence $\left\{d_{n}\right\}$ converges, find the long-term (steady-state) amount of aspirin in your blood.

Determine whether the following series converge. Justify your answers. $\sum_{k=0}^{\infty} \frac{3 k}{\sqrt[4]{k^{4}+3}}$