Introduction to Modeling with Functions Answers

The graph shows the population of a bacteria in an experiment, measured every hour.

Julia finds that the data in the table can be modeled by the function y = 5(4)x.

Brandon enters a contest at the gym. He earns 1 point for his first workout. If he works out the next day, he earns double the points of the previous day. Brandon creates the graph to show the number of points that can be earned on the nth consecutive day of working out.

The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. Cobalt-60 has a half-life of about 5.3 years. Which equation gives the mass of a 50 mg Cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain?

The graph shows the distance, in feet, required for a car to come to a full stop if the brake is fully applied and the car was initially traveling x miles per hour.

Which statements are true about the relationship between the depth of the snow and the height of water in the jar after the snow is melted? Select two options.

A pattern of rectangles is formed by decreasing the length and increasing the width, each by the same amount. The relationship between x, the amount of increase, and A, the area of the rectangle represented by the increase, is quadratic.Which graph could represent the area of each rectangle in terms of the change in the length and width?

Lindsay is creating a bridge out of dried pasta and glue. In her plans, she sketches the graph to determine the lengths of the noodles, in centimeters, needed for the arch to increase the length of the bridge in 1-centimeter increments.

The graph shows the relationship between the weight of a box and the number of books added to the box.

Cherie measures and records the lengths and sizes of the same style of a sandal found at a shoe store.