We have two points on a plane p1(150, 25000), p2(90, 19000) and we can find a linear equation from them, lets calculate the slope:
m = (y2 - y1)/(x2 - x1)
where x1, y1 and x2, y2 are the point's coordinates:
m = (19000 - 25000)/(90 - 150)
m = -6000/-60
m = 100
so we have the slope now, and we can use the equation of the line for a point and having the slope, that equation is:
y - y1 = m(x - x1)
so we substitute:
y - 25000 = 100(x - 150)
y = 100x + 25000 - 15000
y = 100x + 10000
so this is the linear equation that models the airplane descent, when the airplane hits the ground, then y = 0, and we need to find the x, that is the position in relation to the runway:
<span>0 = 100x + 10000
</span>-100x = 10000
x = -100
Sean's average typing speed is 167 words per minute.
1. We need to find how many times John Jogger went to the gym.
He goes 2x weekly for 13 weeks.
13 x 2 = 26 times in the first 3 months.
We still have another 9 months left. He goes twice monthly for each month.
9 x 2 = 18.
We add the total times he went to the gym for the first 3 months to the other 9 months in the year.
26 + 18 = 44 times in one year. If we repeat this for 3 years, you get 44 x 3 = 132 gym visits in three years.
The gym membership is $395 per year. For three years this is 395 x 3 = $1185.
He went to the gym 132 times for a total of $1185. To find the price per visit, divide the total price by the amount of times he went to the gym.
1185/132 = ~$8.98 per gym visit.
2. If 13 weeks = 3 months (1/4 of a year), then there are 52 weeks per year.
If he goes twice every week for 52 weeks, that's 52 x 2 = 104 times per year. If he kept this up for three years, that's 104 x 3 = 312 gym visits in three years.
At the price we found earlier of $1185 for a three-year membership, divide the price by the total number of visits to find the price per visit.
1185/312 = ~$3.80 per gym visit.
The square root of 102 is 10.1 whereas the square root of 340 is 18.44 (both rounded to 2 decimal places) :)