Answer:
5 cm/s
Step-by-step explanation:
The rate of change (ROC) is the speed at which the y variable (hieght) increases with the x variable (time). so ROC = 5.
the linear equation is y = mx + b, m is also the roc, b is the initial value, so,
if y = 60, x = 4 & b = 40, then making m the subject of equation will give the value of the ROC. i.e m = (y - b)/x = (60 - 40)/4.
Answer:
Step-by-step explanation:
-124 = -7(5x+ 6)- 6x Remove the brackets
-124 = -35x - 42 - 6x Combine like terms
-124 = -41x - 42 Add 42 to both sides
-124+42 = - 41x Combine
-82 = - 41x
-82/-41 = x
x = 2
The answer is B. 6n + 2
Explanation: It says firsts, the product of 6. So, 6 it being multiplied. So, 6n. Then it says increased by 2. Addition.
Final expression: 6n + 2
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
To find the slope, you can use the slope formula and plug in the two points:
(3,63) = (x₁ , y₁)
(5,107) = (x₂, y₂)



m = 22
Now that you know m = 22, plug it into the equation:
y = mx + b
y = 22x + b
To find "b", plug in one of the points into the equation (I will do both points)
(3,63)
y = 22x + b
63 = 22(3) + b
63 = 66 + b Subtract 66 on both sides
-3 = b
(5,107)
y = 22x + b
107 = 22(5) + b
107 = 110 + b Subtract 110 on both sides
-3 = b
y = 22x - 3