Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the
2 answers:
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Answer:
1. y = 2(3)ˣ; 2. y = 10(4)^x; 4. Amber = 192 and 3 145 728;
Ben has 54 and 11 098; Carter = 80 and 10 249 shares;
5. Shifted up 45 shares; 6. Amber's;
7. Fewer friends. more shares.
Step-by-step explanation:
The general equation for an exponential function is
y = a(b)ˣ
1. Ben's function
The initial value a = 2.
6 = 2(b)¹ = 2b
Ben's function is
y = 2(3)^x
2. Carter's function
Carter shared his post with 10 friends on Day 0, so a= 10.
Each friend shared with 2 people each day, so b = 2.
Therefore, Carter's function is
y=10(2)ˣ
3. Graphs
The figure below shows the graphs for each function.
4. Predictions
(a) Amber
(i) Day 3
y = 3(4)³ = 3 × 64 = 192
(ii) Day 10
y = 3(4)¹⁰ = 3 × 1 048 576 = 3 145 728
(b) Ben
(i) Day 3
y = 2(3)³ = 2 × 27 = 54
(ii) Day 10
y = 2(3)¹⁰ = 2 × 29 049 = 118 098
(c) Carter
(i) Day 3
y = 10(2)³ = 10 × 8 = 80
(ii) Day 10
y =10(2)¹⁰ = 10 × 1024 = 10 240
5. Sharing with assisted living facility
y = 3(4)ˣ + 45
The new graph will be shifted up by 45 units.
6. Fastest post
Amber's post travels the fastest.
After only two days, she already has more posts than anyone else.
By Day 10, she has more than 25 times the shares of her closest competitor.
7. Preference
It's not the number of friends you have, but the number of shares they make, that is the important factor.
Carter started with 10 friends, but they made only two shares.
Amber started with only three friends, but they made four shares. By Day 3, she had 192 shares compared to 82 for Carter and only 54 for Ben
If I had to choose, I would prefer a post with fewer friends initially but more shares, like Amber.
Answer:
Maximum number of long sleeved shirt that can be purchase is, 8
and
Minimum number of long sleeved shirt that can be purchased is, 0
Step-by-step explanation:
let y represents the number of short sleeves and x represents the number of long sleeves.
As per the given condition:
Members of a school club are buying matching shirts. They know at least 25 members will get a shirt.
we have;
or
....[1]
Since, long sleeves shirt are $ 10 each and short sleeves shirt are $ 5 each.
then;
Total cost of long sleeves is 10x and
the total cost of short sleeves is 5y
Also; the club can spend no more than $ 165
then;
or
......[2]
Solving the inequality equation with the graph :
Plot equation [1] and [2]; we get the maximum at point (8 , 17)
so, x= 8.
If we take minimum value of x =0 then y is between 25 and 33.
so, the solution area is between the lines to the left of where the lines intersect.
Therefore, the maximum number of long sleeved shirts can be purchased is 8 and the minimum number of long sleeved shirt can be purchased is 0
