Question

Suppose an airplane climbs 15 feet for every 40 feet it moves forward. What is the slope of this airplane's ascent?

Answer 1

problems like these i like to draw out, but this one is easy

Answer 2

this is a linear function where altitude is a function of distance

Answer 3

so altitude is your y axis and distance is you x axis

Answer 4

visually speaking because draw is broken

Answer 5

essentially we have an ordered pair (x,y)

Answer 6

(40,15)

Answer 7

what should x be when we have (x,30)

Answer 8

i dont know what

Answer 9

well it climbed 15 feet

Answer 10

and every 15 feet you go up 40

Answer 11

so (80,30) is your next ordered pair

Answer 12

do you know how to find slope?

Answer 13

no

Answer 14

when you have two ordered pairs

Answer 15

howd u get 80

Answer 16

we started at 40, so i just doubled it

Answer 17

but its gonna turn out a fraction

Answer 18

slope isn't always a perfectly round number

Answer 19

you can have a slope of 1 or a slope of 1/39

Answer 20

oh

Answer 21

so wat do i do now

Answer 22

you have two ordered pairs (40,15), (80,30)

Answer 23

so what do we do now

Answer 24

the plane is ascending the skies, so this is a positive slope by the way

Answer 25

do you know the slope formula

Answer 26

y=mx+b

Answer 27

that is point slope form!

Answer 28

we are looking for m in that equation

Answer 29

oh

Answer 30

m=(y2-y1)/(x2-x1)

Answer 31

so m= 30-15/80-40

Answer 32

15/40

Answer 33

which can be simplified

Answer 34

3/8

Answer 35

oh yea i kno what it is

Answer 36

gratis good luck on hw peace

Answer 37

bed time

Answer 38

wait

Answer 39

whats the answer