1-1.1 Mathematical Modeling Answers

Evaluate the function for f(-2). a. 5 b. 7 c. 6 d. 4 Please select the best answer from the choices provided

Solve the problem. A repair company's charge for repairing a certain type of copy machine fits the model where y is the number of dollars charged and x is the number of minutes the repair person is on the job. How many minutes would it take for the cost of repair to reach $130? (Round to the nearest minute.) a. 203 c. 134 b. 287 d. 13 Please select the best answer from the choices provided

Solve the problem.Initially a pool contains 250 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.4 gallons of water per minute. Write a linear model that represents the amount of water, V, in the pool as a function of time, t, in minutes.a.V(t) = 5.4tc.V(t) = -5.4t + 250b.V(t) = 5.4t + 250d.V(t) = 250t + 5.4

Solve the problem.Williamston Daily is a new daily newspaper. When they first started printing three years ago they had 5600 home delivery subscribers. The number of subscribers increases by 71 every month. Write a linear model that represents the number of subscribers, B, for the number of months, n, the paper has been printed.a.B = 71n + 5600c.B = 213n + 5600b.B = 71n + 3d.B = 5600n + 71

Evaluate the function for f(-9). a. -23 b. -2 c. 7 d. 1 Please select the best answer from the choices provided

Solve the problem. The temperature of water in a certain lake on a day in October can be determined by using the model where x is the number of feet down from the surface of the lake and y is the Celsius temperature of the water at that depth. Based on this model, how deep in the lake is the water 9 degrees? (Round to the nearest foot.) a. 12 c. 67 b. 45 d. 30 Please select the best answer from the choices provided

A photographer charges a sitting fee of $15, and charges $4 for each 5-in. by 7 in.photograph the customer orders. The linear function can be used to calculate the customer’s cost (c) based on the number of photographs (n) purchased. Determine the cost of 6 photographs. a. $24 b. $39 c. $114 d. $25 Please select the best answer from the choices provided

Solve the problem. The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write a linear model that represents the cost, C, for the total weight, w, in pounds of the package. Assume w 5 lbs. a. C = 9.7w + 0.46 c. C = 0.46w + 9.7 b. C = 0.46w + 12 d. C = 0.46(w - 5) + 9.7 Please select the best answer from the choices provided