dontgiveupever2018 dontgiveupever2018
  • 13-04-2021
  • Mathematics
contestada

A car gets 32 miles per gallon . The function is d(x) = 32x represents the distance d(x) , in miles , that the car can’t travel with x gallons of gasoline. The tank holds 17 gallons.

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MrRoyal
MrRoyal MrRoyal
  • 18-04-2021

Answer:

[tex]Domain: [0,17][/tex]

[tex]Range:[0,544][/tex]

Step-by-step explanation:

Given

[tex]d(x) = 32x[/tex]

Maximum gallon = 17

Required

Determine the domain and range --- This completes the question

If the maximum is 17 (i.e. at full capacity) then the minimum is 0 (i.e. when empty)

So, the domain is:

[tex]Domain: [0,17][/tex]

To calculate the range, substitute 0 and 17 for x in [tex]d(x) = 32x[/tex]

[tex]d(0) = 32 * 0 = 0[/tex]

[tex]d(17) = 32 * 17 = 544[/tex]

So, the range is:

[tex]Range:[0,544][/tex]

Answer Link

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