Answer:
d = 5t + 20
Step-by-step explanation:
d represents the distance and t represents the time, in hours
Let he equation which model this situation ⇒ d = a t + b
Where a and b are constant.
Let the gas station is the starting point
So, at gas station t = 0 , d = 20
∴ 20 = 0 * a + b ⇒ b = 20
When he reaches home 2 hours later notes that he has traveled 30 miles.
and with substituting with b = 20
∴ 30 = 2 * a + 20
2a = 30 - 20 = 10 ⇒ a = 10/2 = 5
∴ d = 5t + 20
The equations that can be used to model this situation <u>d = 5t + 20</u>
If it has to be perpedicular to y = x, then the slope has to be -1/x because perpedicular slope is the opposite reciprocal. Now plug what you know into the point slope formula.
y - 2 = -1/1 (x - 4)
***** Since -1/1 is the same as -1, it can be rewritten as -1. ****************
y - 2 = -1 (x - 4)
Now distribute -1 times x and -4.
y - 2 = -x + 4
Add 2 to both sides to get y by itself.
y = -x + 2
Your answer should be:
y = -x + 2
The answer is −0.857142857142857
