(a) b = (33+11.95)d + 55.5
(b) The bill for a 5 day rental is $280.25
Step-by-step explanation:
Given,
Rent of car per day = $33
Rent of GPS per day = $11.95
Cost of gas = $3.70 per gallon
Cost of 15 gallons = 3.70*15 = $55.5 per tank
a) Write a function rule for the total bill b as a function of the days d the car is rented.
Let,
d be the number of days.
Total bill = (Rent of car per day + Rent of GPS per day )* Number of days + Cost of tank
b = (33+11.95)d + 55.5
b) What is the bill for a 5 day rental?
Putting d=5 in above function
The bill for a 5 day rental is $280.25
Keywords: function, addition
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#LearnwithBrainly
No, its D
Just look at the rounds mentioned and subtract the scores from higher round with lower round.
Look at A: round 2 score - round 1 score = -2?
-3 -1 = -4 change, not -2 change so it is wrong
Look at B: round 3 score - round 1 score =-1?
-2-1 =-3 change, not -1 change so it is wrong
Look at C: round 3 score - round 2 score =-1?
-2 -(-3) = 1 change, not -1 change so it is wrong
Look at D: round 3 score - round 1 score =-3?
-2-1 = -3 change, matches with -3 so it is correct.
Answer:
Using either method, we obtain: 
Step-by-step explanation:
a) By evaluating the integral:
![\frac{d}{dt} \int\limits^t_0 {\sqrt[8]{u^3} } \, du](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%20%5Cint%5Climits%5Et_0%20%7B%5Csqrt%5B8%5D%7Bu%5E3%7D%20%7D%20%5C%2C%20du)
The integral itself can be evaluated by writing the root and exponent of the variable u as: ![\sqrt[8]{u^3} =u^{\frac{3}{8}](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7Bu%5E3%7D%20%3Du%5E%7B%5Cfrac%7B3%7D%7B8%7D)
Then, an antiderivative of this is: 
which evaluated between the limits of integration gives:
and now the derivative of this expression with respect to "t" is:
b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:
"If f is continuous on [a,b] then
is continuous on [a,b], differentiable on (a,b) and 
Since this this function 
is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:
<span>The graph of g(x) is the graph of f(x)translated 3 units up.</span>
