Answer:
a) <u><em>y = 9.187 * 1.09899^x</em></u>
b) <u><em>2647.2695</em></u>
Step-by-step explanation:
a) using calculator, (mine is ti84 plus ce), we use stat and edit. we plug in x and y. x will be in the L1 and y wil be in L2. Now, we go to stat, calc, and we press ExpReg, short for exponential regression. we calculate and get <u><em>y = 9.187 * 1.09899^x</em></u>
you can round if you want. well, i guess you shouldn't, cuz it changes it dramatically
b) Now, we use <u><em>y = 9.187 * 1.09899^x </em></u> into the y= and we put it in whatever slot we want. Now, we press trace. we press 60 to find the y,because the number is always x. the number , y, we want is <u><em>2647.2695</em></u> recommendations.
<u><em>Answers:</em></u>
(2,1)
(1,3)
<u><em>Explanation:</em></u>
Assume that the number of hot dogs is x and the number of water bottles is y.
<u>We are given that:</u>
1- cost of hot dog is $4
2- cost of water is $2
3- total profit was less than $12
<u>This means that:</u>
4x + 2y < 12
<u>We will check the options that satisfy the above inequality:</u>
<u>Option 1: (-1,5):</u>
This option is rejected as we cannot sell -1 hot dog
<u>Option 2: (0,6):</u>
4x + 2y = 4(0) + 2(6) = 12
12 is not less than 12
This option is incorrect
<u>Option 3: (2,1):</u>
4x + 2y = 4(2) + 2(1) = 8 + 2 = 10
10 is less than 12
This option is correct
<u>Option 4: (1,1.5):</u>
This option is incorrect as we cannot sell 1.5 bottle of water
<u>Option 5: (1,3):</u>
4x + 2y = 4(1) + 2(3) = 4 + 6 = 10
10 is less than 12
This option is correct
<u>Option 6: (2,2):</u>
4x + 2y = 4(2) + 2(2) = 8 + 4 = 12
12 is not less than 12
This option is incorrect
Hope this helps :)
First off, we'll move the non-repeating part in the decimal to the left-side, by doing a division by a power of 10.
then we'll equate the value to some variable, and move the repeating part over to the left as well.
anyhow, the idea being, we can just use that variable, say "x" for the repeating bit, let's proceed,


and you can check that in your calculator.
Answer:
155 Units
Step-by-step explanation:
Rate of Bug (given) = 11 units PER MINUTE
It never changed direction, so it was going in positive direction (assume).
In 7:15 pm (evening), it was at Point 100,
We want the point at which it was at 7:20 pm.
7:20pm - 7:15pm = 5 minutes
So, time passed 5 minutes. It's rate is 11 units PER MINUTE, so in 5 mins:
11 * 5 = 55 units
<em>Assuming he is going in positive direction</em>, the bug will be at:
100 + 55 = <u>155 Units</u>
1.
of students ride the bus to school. Note that

2.
of students walk to school.
3. The fraction of students that ride the bus or walk to school is

Answer: the fraction of students that ride the bus or walk to school is 