Answer:
d = 7.2
Step-by-step explanation:
We can cross multiply the equation to get:
6 * 30 = 25 * d
(* is multiplication sign by the way)
180 = 25d
Divide both sides by 25 to get:
d = 7.2
The rate of change is 4.A linear model
Answer:
9
Step-by-step explanation:
6÷2(1+2)
(1+2)
3
6÷2×3
6÷2=
3
3×3
9
Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
Which ever graph looks like this
