Which statement describes the graph of f(x) = 4x^7 + 40x
1 answer:
You might be interested in
Answer:
- (a) C(d) = 270 + 0.20d
- (b) C(1800) = 630
- (c) see attached (lower right graph). The slope represents the cost (in dollars) per mile.
- (d) It represents the fixed cost (amount she pays even if she does not drive)
- (e) the cost increases as the number of miles driven increases
Step-by-step explanation:
(a) You are given two points, (d, C) = (360, 342) and (780, 426). The two-point form of the equation for a line can be helpful.
... y = (y2 -y1)/(x2 -x1)(x -x1) +y1
Using the given points and variables, ...
... C = (426 -342)/(780 -360)(d -360) +342
... C = (84/420)(d -360) +342
... C = 0.20d +270 . . . . the equation for cost as a function of miles driven
(b) Fill in the value for d and do the arithmetic.
... C = 0.20·1800 +270 = 360 +270 = 630
(c) The slope of the curve is (change in dollars)/(change in miles) = $/mile, the cost of each mile driven. (It is $0.20 per mile.)
(d) The C-intercept is C(0) = cost for 0 miles driven. (It is $270.)
(e) Both your own experience and the problem statement tell you that the cost of vehicle operation varies with miles driven. If nothing else, you need to pay more for gas the farther you drive.
(In real life, you don't expect the model to be exactly linear, becasue you get a large jump in cost when you reach certain maintenance interval miles: 15,000, 30,000, and so on.)
Answer:
No, the cone will not hold all of the ice cream.
Step-by-step explanation:
Given:
" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a height of 6 inches.
If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let it melt.
Now, to explain mathematically will the cone hold all of the ice cream.
<u>Taking the value of π = 3.14.</u>
So, to get the volume of waffle cone we put formula:
Height (h) = 6 inches.
Diameter =
Thus radius (r) = Diameter ÷ 2 =
The volume of waffle cone = 10.78 inches³.
Now, to get the volume of scoop which is in the shape of sphere we put formula:
Diameter =
Thus radius (r) = Diameter ÷ 2
<em>The volume of one scoop of ice cream = 12.47 inches³.</em>
<u><em>So, as the volume of scoop of ice cream is more than the volume of cone.</em></u>
<u><em>Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.</em></u>
Therefore, no the cone will not hold all of the ice cream.