Answer:
He drove 120 km
Step-by-step explanation:
We know that 1 hour of driving is equal to 80 km. We need to find out for 1.5 km. First, we need to know how much km for 1/2 of an hour. Which will be 40, because 80/2=40. Then we add up the 40 to the 80, and we get 120 km in total.
Answer:
x=0
Step-by-step explanation:
<u>We know that,</u>
slope = ![\rm{\frac{(y2 - y1)}{(x2 - x1)} }](https://tex.z-dn.net/?f=%20%20%5Crm%7B%5Cfrac%7B%28y2%20-%20y1%29%7D%7B%28x2%20-%20x1%29%7D%20%7D)
Let (0,1)=(x 1 ,y 1 ) and (1,2)=(x 2,y 2 )
So,
Slope of line = ![\frac{(2 - 1)}{(1 - 0)} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%282%20-%201%29%7D%7B%281%20-%200%29%7D%20%20%3D%201)
Now,
The required line equaqtion is given by,
==> y−y 1 = m(x-x1)
==> y−1=1(x−0)
==> y−1=x
==> y=x+1
Answer: After 10 more years i.e. after 30 years, the population of the town will be 100626.57 approx.
Step-by-step explanation:
Since we have given that
Initial population 20 years ago = 10,000
Rate of growth = 8%
Number of years = 10+20 = 30 years
According to question, we will use "Compound interest":
![Amount=P(1+\frac{r}{100})^n\\\\Amount=10000(1+\frac{8}{100})^{30}\\\\Amount=10000(1+0.08)^{30}\\\\Amount=10000(1.08)^{30}\\\\Amount=100626.57](https://tex.z-dn.net/?f=Amount%3DP%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5En%5C%5C%5C%5CAmount%3D10000%281%2B%5Cfrac%7B8%7D%7B100%7D%29%5E%7B30%7D%5C%5C%5C%5CAmount%3D10000%281%2B0.08%29%5E%7B30%7D%5C%5C%5C%5CAmount%3D10000%281.08%29%5E%7B30%7D%5C%5C%5C%5CAmount%3D100626.57)
Hence, After 10 more years i.e. after 30 years, the population of the town will be 100626.57 approx.
![(\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{6 +3}\implies 0](https://tex.z-dn.net/?f=%28%5Cstackrel%7Bx_1%7D%7B-3%7D~%2C~%5Cstackrel%7By_1%7D%7B4%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B6%7D~%2C~%5Cstackrel%7By_2%7D%7B4%7D%29%20~%5Chfill%20%5Cstackrel%7Bslope%7D%7Bm%7D%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%20%7B%5Cstackrel%7By_2%7D%7B4%7D-%5Cstackrel%7By1%7D%7B4%7D%7D%7D%7B%5Cunderset%7Brun%7D%20%7B%5Cunderset%7Bx_2%7D%7B6%7D-%5Cunderset%7Bx_1%7D%7B%28-3%29%7D%7D%7D%20%5Cimplies%20%5Ccfrac%7B0%7D%7B6%20%2B3%7D%5Cimplies%200)
hmmm a line with a slope of 0 is a horizontal one, and it has no slope-intercept form.
Check the picture below.