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Dylan is going to drive from his house to City A without stopping. A equation that determines Dylan's distance from City A tt hours after leaving his house is D=280-35t.D=280−35t. What is the xx-intercept of the equation and what is its interpretation in the context of the problem?

Respuesta :

MrRoyal

Answer:

[tex]t = 8[/tex]

Step-by-step explanation:

Given

[tex]D = 280 - 35t[/tex]

Required

Determine and interpret the x intercept

To get the x intercept, set D = 0

[tex]D = 280 - 35t[/tex]

[tex]0 = 280 - 35t[/tex]

Add 35t to both sides

[tex]0 + 35t = 280 - 35t + 35t[/tex]

[tex]0 + 35t = 280 - 35t + 35t[/tex]

[tex]35t = 280[/tex]

Solve for t

[tex]t = 280/35[/tex]

[tex]t = 8[/tex]

The interpretation is that this is the time when Dylan left home