Solve the problem.A driver wants to gauge the fuel efficiency of her vehicle. She notices that traveling at an average speed of 35 mph results in a rating of 27 mpg, whereas at an average speed of 40 mph, her car rates 12 mpg. Assume that the relationship between average speed (mph) and gas mileage (mpg) is linear. (a) Find an equation to model the gas mileage, y, for an average speed of x mph. Write your answer in slope-intercept form. (b) Use your equation from part (a) to estimate the gas mileage, rounded to the nearest whole number, the driver would get if her average speed was 25 mph.
A. (a) y = - 3x + 78; (b) 3 mpg
B. (a) y = - 3x + 132; (b) 207 mpg
C. (a) y = 
x + 78; (b) 86 mpg
D. (a) y = 
x + 132; (b) 140 mpg
Answer: B
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Use differentiation to determine whether the integral formula is correct.
dx = -3 cot 
+ C
A. No B. Yes
Provide an appropriate response.Which of the following statements is false?
A. The sequences {an} and {bn} must be positive for all n to apply the Limit Comparison Test.
B. All of these are true.
C. If {an} and {bn} meet the conditions of the Limit Comparison test, then, if 
= 0 and 
converges, then 
converges.
D. The series 
must have no negative terms in order for the Direct Comparison test to be applicable.
Perform the subtraction visually using symbols. -9 - (-3)
A. 11 B. -11 C. -12 D. -6
Graph the inequality on a number line. Then write the solution using interval notation.x ? -6
A. (?, -6)
B. (-6, ?)
C. (-?, -6]
D. [-6, ?)