Solve the problem.A gas company has the following rate schedule for natural gas usage in single-family residences:Monthly service charge $8.80Per therm service charge1st 25 therms$0.6686/thermOver 25 therms$0.85870/thermWhat is the charge for using 25 therms in one month?What is the charge for using 45 therms in one month?Construct a function that gives the monthly charge C for x therms of gas.
What will be an ideal response?
$25.52
$42.69
C(x) = 
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Answer the question.The distance from the Earth to the Sun is about 1.5 × 108 km, while the distance from the Earth to the moon is about 3.8 × 105 km. If a scale model of the solar system is constructed so that the distance from the Earth to the Sun is 100 meters, what will be the distance from the Earth to the moon?
A. 6.36 m B. 39, 474 m C. 0.25 m D. 39.5 m
Solve the problem.Find f(?) if 
= x sin 4x.
A. 4 B. 0 C. ? D. 4?
Solve the problem.The sum of the measures of the angles of any triangle is 180°. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 90° larger than each of A and B. What are the measures of the three angles?
A. A and B: 120°; C: 30° B. A and B: 30°; C: 120° C. A and C: 100°; B: 40° D. A and B: 40°; C: 100°
Solve by graphing. Label the axes and show where the solution is located on the graph.Suppose y = mx + b is a mathematical model for actual time as a function of estimated time, where y represents actual time and x represents estimated time and m and b are constants. If m = 1.8 and b = -0.3, find y when x is 30 min.
A. 30.54 min B. 53.7 min C. 29.46 min D. 54.3 min