Answer:
a chance of 3.16
Step-by-step explanation:
in the f(t) = 15000(1.08)ᵗ, which is a form of a compounded interest formula, t = years, so
f(t) = 15000(1.08)¹⁰ , is the value of it when t = 10, after 10 years.
The slope is basically the coefficient of x and that is 1 since 1x=x. To find the y-intercept, you need to subtitute x=0 into y=x+5 because x is at 0 when you are looking at the y-intercept.
y=0+5=5
So the slope is 1 and the y-intercept is 5.
X (Time in Hours) y (Distance)
0 900
1 850
2 800
3 750
The y-intercept of this function would be the value of y when x = 0
Reading from the table, when x = 0, y = 900
Interpreting this value it means that initially, the distance of the car from its destination is 900 miles
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PART B
The rate of change is calculated by finding the vertical and horizontal distance between two points
The decrease is the same value every time; for every hour, there's a decrease of 50 miles.
So, the rate of change is 50 miles per hour
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PART C
The function is in the straight line equation form: y = -50x + 900
The value -50 represents the negative slope (the decrease in distance)
The value 900 represents the y-intercept
The car reaches its destination when y = 0, so the value of x would be
0 = -50x + 900
50x = 900
x = 900/50
x = 18 hours
The domain of the function is 0 ≤ x ≤ 18
