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2 years ago

Find the average rate of change of this function:

Mathematics

1 answer:

Phoenix [80]2 years ago

7 0

Answer:

A slope of the line over the interval of [-6, -1] is ⅕ as illustrated in the graph above

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James is playing his favorite game at the arcade. After playing the game 333 times, he has 888 tokens remaining. He initially ha

lesantik [10]

Answer:

t(g)= -4g + 20

Step-by-step explanation:

James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays

Solution

Let

g=No. of games James plays

t= No. of tokens James has.

Find the slope using

y=mx + b

Where,

m = Slope of line,

b = y-intercept.

Before James started playing the games, he has a total of 20 tokens.

That is, when g=0, t=20

After James played the games 3 times, he has 8 tokens left

That is, when g=3, t=8

(x,y)

(0,20) (3,8)

m=y2-y1 / x2-x1

=(8-20) / (3-0)

= -12 / 3

m= -4

Slope of the line, m= -4

y=mx + b

No. of tokens left depend on No. of games James plays

t is a function of g.

t(g)

t(g)= -4g + 20

3 0

2 years ago

I don't really understand what I suppose to do here so please help me with the question

AlekseyPX

Answer:

look at the time for example, B's time is constant because it isn't skipping numbers like 1, 5, 3,etc.

the height is also constant because it is dividing each number by 2, 60÷2=30, 30÷2=15, 15÷2=7.5. You will notice A is not constant so (no) but B is so (yes)

5 0

2 years ago

The line plots show the number of hours two different age groups of teenagers spent online the previous week.

nikklg [1K]

The range of the top plot, hours spent by 13-15 year olds, is found by subtracting the highest value, 34, and the lowest value, 21. 34-21=13.
The mean of the top plot is found by adding together all of the data points and dividing by 10 (the number of data points):
$\frac{21+24+26+27+27+28+28+28+31+34}{10}=\frac{274}{10}=27.4$

The range of the bottom plot, minutes spent online by 16-18 year olds, is found by subtracting the highest value, 36, and the lowest value, 12. 36-12=24.
The mean of the bottom plot is found by adding together all of the data points and dividing by 11 (the number of data points):
$\frac{12+21+27+28+28+28+28+30.5+34+35+36}{11}=\frac{307.5}{11} \approx27.95$

4 0

2 years ago

Given enough time will exponential growth always exceed linear growth? why?

Stells [14]

I don't get your question

6 0

3 years ago

Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B

makvit [3.9K]

Answer:

D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.

Step-by-step explanation:

Runner A:

Time it takes for him to finish:

t = 26.2/5.6 = 4.679 hours (to complete race)

Runner B:

Time it takes for him to finish:

t = 26.2/6.4 = 4.094 hours

BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.

t = 4.094 + .5 = 4.594 hours

3 0

2 years ago