30 points. Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the sa
me time. Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours. The distance of Tasha's balloon from the town is represented by the function y=8x + 20.
Which balloon was farther from the town at the begging, and which traveled more quickly.
Which balloon was farther from the town at the begging, and which traveled more quickly.
2 answers:
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Answer:
1.) Slope = -1.5
2.) y-Intercept = 11.5
3.) y = -1.5x+ 11.5
Step-by-step explanation:
1.) Slope
Every time x decreases by two units, y increases by three units.
Slope = m = Δy/Δx = 3/(-2) = -1.5
2.) y-intercept
The y-intercept (b) is the value of y when x = 0.
When x = -1, y = 13.
If we increase x by 1 unit, x will equal 0.
The slope tells us that when x increases by 1 unit, y decreases by 1.5 units.
y = 13 - 1.5 = 11.5
The y-intercept is at y = 11.5.
3.) Equation
The equation for a straight line is
y = mx + b
m = -1.5 and b = 11.5, so
y= -1.5 x + 11.5
The figure below shows your points and the graph of y = -1.5x + 11.5, with a y-intercept at x = 0, y = 11.5.
