Answer:
240 miles
Step-by-step explanation:
To solve this we need to write an equation. For this problem let <u>d be the distance traveled</u>. We know that the new train (being much more modern than poor old Thomas who is long retired) can go 20% further. To show this we will take 20% of 200 and then add that to the original distance.
Our equation would look something like this:
d=200+(20%·200)
[one more little note: to find percentage take your percent and convert it into a decimal 20%=0.2)
d=200+(0.2·200)
d=200+40
<u>d=240</u>
It was hard to figure this put but I'll just a take an educated guess and say that the answer is 10%.
Y =ax² + bx +c
1) Point (0,7)
7 = a*0² +b*0 +c
c = 7
y=ax² + bx + 7
2) Point (1,4)
4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------>
a+b= - 3
3) Point (2, 5)
5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ---->
-1=2a + b
4)
a+b= - 3, ----> b= -3 - a (substitute in the second equation)
2a+b= -1
2a - 3 - a = -1, ----> a - 3 = -1,
a =2
5) a+b= - 3
2 + b = -3
b = -5
y=2x² - 5x + 7