Hello,
The rate of change is the slope (rise/run, y/x). To find that, we use the equation (y2-y1) over (x2-x1). It means take the second "y" and subtract it from the first "y" and the same to "x". If I plug in the numbers, it would be (3-6) over (5-4), and after you subtract, the answer simplifies to: -3/ 1 which is -3. Yay! We got the slope (rate of change) done.
Now let's find the y-intercept by using the formula of point-slope form,
y-y1= m (slope) (x-x1). This is saying you "y" is subtracted from the first
"y" of the points which equals the slope (m) times the quantity of "x" subtracted by the first "x" of the points.
Let's plug the numbers in: y-6 = -3 (x-4). Let's distribute -3 to the parenthesis, and after that it should simplify to: y-6 = -3x + 12. To get "y" by itself, add 6 to both sides: y = -3x +18. We have finally found the slope-intercept equation for those two points (4,6) and (5,3). To then find the y-intercept in this equation, it would be the 18, because -3 is the slope, so that makes 18 the y-intercept.
In conclusion, the rate of change is -3 and the y-intercept is 18.
I hope this helps!
May
The fifth term of the geometric sequence would be 0.972
Answer:
C
Step-by-step explanation:
When we talk of rate of change, we talk of the slope of the line
If we had a line;
y = mx + b
m is the slope ( which is the rate of change)
To get the slope of the line, we select any two points on the line and apply the slope formula
m = y2-y1/x2-x1
let us take points (0,0) and (3,9)
m = 9-0/3-0 = 9/3 = 3
The slope here is 3
so from the option, we can see that the third option is the correct answer
1.25t+7=43.25 can be used to determine the number of minutes that Raymond was on the trampoline.
Step-by-step explanation:
Given,
Total cost for session = $43.25
Entrance fee = $7
Charges per minute = $1.25
Let,
t be the number of minutes raymond was on Trampoline
Total cost for session = entrance fee + Charges per minute * No. of minutes
1.25t+7=43.25 can be used to determine the number of minutes that Raymond was on the trampoline.
Keywords: linear equation, addition
Learn more about linear equations at:
#LearnwithBrainly
The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.so the resulting expression when you of apply the distributive property to 14(−3n+32)= (14) (-3n) + (14) (32)= -42n + 448
