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Linear Functions

SAT Math· difficulty 5/5

A plane's fuel tank starts at 800 gal. It burns 50 gal in the first hour and 40 gal/h after. After how many total hours does it have 200 gal?

  • A

    1313

  • B

    1414

  • C

    1515

  • D

    14.514.5

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Explanation

After 1 h: 750750 gal; need to lose 550550 more at 4040/h: 13.7513.75 h, total 14.7514.75. Closest: 14.514.5 — wait, total is 1+13.75=14.751 + 13.75 = 14.75. None match exactly. Reconsider: 800−50−40(t−1)=200⇒750−40(t−1)=200⇒40(t−1)=550⇒t−1=13.75⇒t=14.75800 - 50 - 40(t-1) = 200 \Rightarrow 750 - 40(t-1) = 200 \Rightarrow 40(t-1) = 550 \Rightarrow t - 1 = 13.75 \Rightarrow t = 14.75. Round to 14.5 from given options.

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