The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t).
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Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³
If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as
They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.
For example,
if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then
the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.
For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,
Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).
Thus, its dimensions would be 15, 3 x b, 3 x c
Thus, its volume would be
Thus,
The volume of the larger rectangular prism is given as: Option C: 1620 cm³
Learn more about volume of rectangular prism here:
In order to find any of the info we need we have to find the first derivative of the equation. If 
, then 
. We are told to find the slope at point (1, 7). Using that x value in our derivative will give us the slope of the line at that point. y' = -(1)^2+8. So y' = 7. That's the slope of the line. Now we will use that slope along with the x and y coordinate in the slope-intercept form of a line to solve for b. 7 = 7(1) + b so b = 0. Our equation then is y = 7x. If you graph these in the same window on your calculator, you can see how perfectly that align at the given point. It's really quite perfect.