Answer:
Option 2 is correct.
Step-by-step explanation:
We have been provided a table of values of an exponential function and we are asked to find out the decay factor of the function.
Upon looking at our table we can see that every time x increases by one our y value remains one-third of the previous value.
To find out decay factor we will subtract 1/3 from 1.

Therefore, decay factor of the exponential function is
and option 2 is correct choice.
Answer: 61 children attended the musical last night.
Step-by-step explanation:
Let x represent the number of children that attended the musical last night.
Let y represent the number of adults that attended the musical last night.
The musical charges $3.50 for children's tickets and $5.00 for adults tickets. If the tickets sales totaled $823.50. It means that
3.5x + 5y = 823.5- - - - - - - - - - 1
Last night, twice as many adults attended the musical than children. It means that
y = 2x
Substituting y = 2x into equation 1, it becomes
3.5x + 5 × 2x = 823.5
3.5x + 10x = 823.5
13.5x = 823.5
x = 823.5/13.5
x = 61
y = 2x = 2 × 61
y = 122
Answer:
- height: 48.6 ft
- time in air: 3.4 s
Step-by-step explanation:
A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.
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The equation can be rewritten to vertex form to find the maximum height.
h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms
h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16
h(t) = -16(t -27/16)^2 +48 9/16
The maximum height is 48 9/16 feet, about 48.6 feet.
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The air time is found at the value of t that makes h(t) = 0.
0 = -16(t -27/16)^2 +48 9/16
(-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16
(√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16
The time in air is about 3.4 seconds.
(4+3)(7-4) if you want the products to multiply each other
4+3(7-4) if you want to use the distributive property and simply have 3 multiplied but the simplification of 7-4 which is 3
Answer:
5.26 hours or 315.6 minutes
Step-by-step explanation:
If he travels 0.19 miles in 1 hour
Then 1 mile is traveled (1x1)/0.19
5.26 approx. hours or 5.26 x 60 mins = 315.6.