What is the slope of the line 8x + 6y = 30
2 answers:
The form for the y-intercept equation is y=mx+b where m=the slope. If we can get it into that format, it will give us the slope. So we need to solve for y.
8x+6y=30
To simply things, we are going to divide the whole equation by 2. So the equation is now:
4x+3y=15
We need to move the 4x to the right side so we subtract 8x from both sides
4x-4x+3y=15-4x
3y=15-4x
Now we need to get y alone so we divide by 3
3y/3=
We can separate that fraction and we have:
Now that we have it in the right format we can see that if you look at the formula y=mx+b then m=
Hope that helps.
8x+6y=30
To simply things, we are going to divide the whole equation by 2. So the equation is now:
4x+3y=15
We need to move the 4x to the right side so we subtract 8x from both sides
4x-4x+3y=15-4x
3y=15-4x
Now we need to get y alone so we divide by 3
3y/3=
We can separate that fraction and we have:
Now that we have it in the right format we can see that if you look at the formula y=mx+b then m=
Hope that helps.
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Answer:
The population will be 896 turtles 6 years later ⇒ B
Step-by-step explanation:
The exponential increasing formula is y = a, where
- y is the new value
- a is the initial value
- r is the rate of increase in decimal
- x is the time in years
∵ There are 300 turtles
∴ a = 300
∵ The population of the turtles exponentially increases 20% each year
∴ r = 20%
→ Divide it by 100 to change it to decimal
∵ 20% = 20 ÷ 100 = 0.2
∴ r = 0.2
∵ The time is 6 years
∴ x = 6
→ Substitute these values in the exponential formula above
∵ y = 300
∴ y = 300
∴ y = 895.7952
→ Round it to the nearest whole number
∴ y = 896
∴ The population will be 896 turtles 6 years later