anonymous
  • anonymous
i need help!!! the table below represents the distance of a car from its destination as a function of time time (hours) distance (miles) 0 900 1 850 2 800 3 750 what is the y intercept of a function and what does this tell you about the car? calculate the average rate of change of the function represented by the table between x=1 to x=3? what would be the domain of this function if the car traveled the same rate until it reached its destination?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Vocaloid
  • Vocaloid
start by finding the y-intercept
Vocaloid
  • Vocaloid
if x = time and y = distance, what is the distance when x = 0 ?
anonymous
  • anonymous
900

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anonymous
  • anonymous
sorry i had to take my dog out
Vocaloid
  • Vocaloid
good, so the y-intercept is (0,900) which means the car starts off at 900 miles away from its destination
Vocaloid
  • Vocaloid
for average rate of change, you want to find (distance when x = 3) - (distance when x = 1)
Vocaloid
  • Vocaloid
then divide that by 2
anonymous
  • anonymous
distance equals 750 when time is 3 and the distance equals 850 when the time equals one
Vocaloid
  • Vocaloid
good, then we subtract
Vocaloid
  • Vocaloid
750 - 850 = -100
Vocaloid
  • Vocaloid
then divide by 2, to get -50
anonymous
  • anonymous
okay
Vocaloid
  • Vocaloid
the slope is -50 and the y-intercept is 900 so we have the equation y = -50x + 900 to find the domain, let y = 0 and solve for x 0 = -50x + 900 x = ?
anonymous
  • anonymous
so 0-900?
Vocaloid
  • Vocaloid
-900 = -50x x = ?
anonymous
  • anonymous
okay so -900/-50
Vocaloid
  • Vocaloid
right, keep going
Vocaloid
  • Vocaloid
-900/-50 = ??
anonymous
  • anonymous
18
anonymous
  • anonymous
right?
Vocaloid
  • Vocaloid
right, so the domain is all real numbers from x = 0 to x = 18 you can write this as [0,18]
anonymous
  • anonymous
okay
Vocaloid
  • Vocaloid
and that's it
anonymous
  • anonymous
thank you so much

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