Answer:
y-10=2/3(x-8)
Step-by-step explanation:
(y2-y1)/(x2-x1) is the equation for slope so put your points in you get 2/3 once simplified then its just a matter of putting points in the equation y-y1= m(x-x1)
Total distance John drove=450 miles
total time=8 hours
let the number of hours he drove on highway be x, number of hours he drove on turnpike will be (8-x) hours
since
distance=speed*time
distance traveled in highway=50x
distance traveled in turnpike=60(8-x)
thus the total distance will be:
50x+60(8-x)=450
simplifying the above
50x+480-60x=450
-10x=450-480
-10x=-30
thus
x=3 hours
Thus he drove on highway for 3 hours.
The equation of c is an illustration of subject of formula
The equation of c in terms of r and t is c = r - 15/t
<h3>How to determine the equation?</h3>
The equation is given as:
t = 15/(r - c)
Cross multiply
t(r - c) = 15
Divide both sides by t
r - c = 15/t
Subtract r from both sides
-c = -r + 15/t
Multiply both sides by -1
c = r - 15/t
Take LCM

Hence, the equation of c in terms of r and t is 
Read more about subject of formula at:
brainly.com/question/10643782
Answer:
a) 2 b) 1 c) 7/6
Function a(x) = 2x + 3 has the greatest rate of change
Step-by-step explanation:
a(x) = 2x + 3
2(-1) + 3 = 1 (-1,1)
2(2) + 3 = 7 (2,7)
= 6/3
=2
b(x) = x^2 - 1
(-1)^2 - 1 = 0 (-1, 0)
(2)^2 - 1 = 3 (2,3)
= 3/3
=1
c(x) = 2^x + 1
2^(-1) + 1 = 1.5 (-1, 1.5)
2^(2) + 1 = 5 (2,5)
= 3.5/3 or 7/6
=7/6
Answer: 2 because of the constant proportionality
Step-by-step explanation: hope this helps!