Question

8.) A family of squirrels takes up residence in the roof of your house. You call a company to remove the squirrels. The company traps the squirrels and then releases them in a wooded area. The company charges $30 to drop off the traps and then charges $15 for each squirrel it traps. The total cost C (in dollars) is given by the equation C = 30 + 15s where s is the number of squirrels that are taken away. a.) Graph the equation. b.) Suppose the company raises its fee to $18 to take away each squirrel. Graph the equation C = 30 – 18s. c.) How much more does it cost for the company to trap 4 squirrels after the fee is raised? Cost (dollars) 120 100 80 60 40 20 0 Number of squirrels​

Answer 1

It would cost $12 more for the company to trap 4 squirrels after the fee is raised.

Explanation:

To graph the equation C = 30 + 15s, we can create a simple line graph. The x-axis represents the number of squirrels (s), and the y-axis represents the total cost (C) in dollars.

We start by plotting the points using the given values:

Number of squirrels (s): 0, 1, 2, 3, 4, 5, 6

Total cost (C) in dollars: 30, 45, 60, 75, 90, 105, 120

Connecting these points with a straight line, we get a graph that starts at (0, 30) and increases by 15 units on the y-axis for every 1 unit increase on the x-axis.

b) For the equation C = 30 - 18s, the graph would be slightly different. Again, the x-axis represents the number of squirrels (s), and the y-axis represents the total cost (C) in dollars.

Plotting the points using the given values:

Number of squirrels (s): 0, 1, 2, 3, 4, 5, 6

Total cost (C) in dollars: 30, 12, -6, -24, -42, -60, -78

Connecting these points with a straight line, we get a graph that starts at (0, 30) and decreases by 18 units on the y-axis for every 1 unit increase on the x-axis.

c) To find out how much more it costs for the company to trap 4 squirrels after the fee is raised, we can compare the cost with the original fee and the new fee.

Using the original fee of $15 to trap each squirrel, the total cost to trap 4 squirrels would be:

C = 30 + (15 * 4) = 30 + 60 = $90

Using the raised fee of $18 to trap each squirrel, the total cost to trap 4 squirrels would be:

C = 30 + (18 * 4) = 30 + 72 = $102