Answer:
y = 15x
Step-by-step explanation:
For every hour that has gone by, Marco biked 15 miles, therefore, the equation of the line that shows the relationship between the time, x, and the distance, y, is <em>y = 15x</em>.
Answer:
Slope = - 1
y-intercept = 2
Step-by-step explanation:
Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Step-by-step explanation:
Years since tree was planted (x) - - - - height (y)
2 - - - - 17
3 - - - - 25
5 - - - 42
6 - - - - 47
7 - - - 54
9 - - - 69
Using a regression calculator :
The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08
With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.
X is the independent variable which is used in calculating the value of y.
Predicted height when years since tree was planted(x) = 100
ŷ = 7.36X + 3.08
ŷ = 7.36(100) + 3.08
y = 736 + 3.08
y = 739.08
Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.
Answer:
Distance traveled by the snowball = 45feet
Step-by-step explanation:
The distance traveled by the snowball = distance of hypothenus for both Right angle triangle
1st pythagoras =
X² = 20² + 15²
X = (20² + 15²)¹/² = 25 feet
2nd pythagoras =
X² = 16² + 12²
X = (16² + 12²)¹/² = 20 feet
Distance traveled by the snowball = 20 + 25 = 45feet
