Answer:
d: y=5x
Step-by-step explanation:
Since we know a few points: (2,10), (3,15), (4,20), we can use two of them to first find the slope. The equation for the slope is (Increase in y)/(increase in x).
1. Slope between (2,10) and (3,15) is 5/1 which is 5. So the slope will be 5.
2. With the slope, we know that our equation will be: y=5x+b. To find b, we can replace x and y with another point. 20 = 5(4)+b. --> 20 = 20 +b. Now we know that b equals 0.
Our final equation will be y = 5x.
RECHECKING!
I'll recheck whether my answer is right or not using Desmos (A online graphing calculator).
I added an image down below, and I drew the points in blue. This shows that since the graph crosses all three points, it is correct.
WHY y=1/5x IS NOT CORRECT (based on your comments)
If you look at the points, the relationship between x and y is not 1/5. If you multiply something from x, it should become 10.
--> 2 times __ = 10
--> 3 times __ = 15
--> 4 times __ = 20
And clearly, __ will be 5. If it becomes 1/5, we won't get the right number of y.
This is why y=1/5 is not correct.
Hope this helps!
Answer: 10.4
Step-by-step explanation:
According to the right angle triangle, the longest side is the hypothenus, d side facing the angle is the opposite and the other side is the adjacent
So we this we will use tan
Tan 30= opp/adj
Tan 30= 6/x
Cross multiply
Xtan30= 6
X= 6/tan 30
X= 6/1/square root of 3
X= 6 x square root of 3
X= 10.39 ~ 10.4
Answer:
Betsy will save $121 in 5 weeks.
Step-by-step explanation:
We can see that Betsy's savings are 3 times the saving of her last week. We can see that this is an geometric sequence as 1,3,9,..
To find the sum of our geometric sequence we will use , where n is number of terms we are taking sum of, a is first term of sequence and r is common ratio of the sequence.
Therefore, Betsy will save $121 in 5 weeks.