Diego's family car holds 14 gallons of fuel. Each day the vehicle uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.
a. Starting from a full tank, can Diego's family drive the car for 14 days without the warning light coming on? Explain or show your reasoning.
b. Starting from a full tank, can Diego's family drive the car for 25 days without the warning light coming on? Explain or show your reasoning.
c. Diego says the expression 14-0.6t helps him understand this situation. In this situation, what does this expression represent, and what does the variable t stand for?
d. Write and solve an equation to determine the number of days Diego's father can drive the car without the warning light coming in.
e. write and solve an inequality that represents this situation. Explain clearly what the solution to inequality means in the context of this situation.
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a.
capacity of car = 14 gallons
consuption of fuel in one day = 0.6 gallons
consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons
fuel remaining in car = 14 - 8.4 = 5.6 gallons
so they can drive the car without warning.
b.
consuption of fuel in one day = 0.6 gallons
consumption of fuel in 25 days = 25 x 0.6 = 15 gallons
fuel remaining in car = 14 - 15 = -1 gallons
so they can't drive the car without warning.
c.
the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.
d.
14 - 0.6t = 1.5
or - 0.6t = 1.5 - 14 = - 12.5
or t = -12.5 / - 0.6
or t = 20.8333 days
so he can drive 20 days without warning.
e.
14 - 0.6t < 1.5
or t < 20.8333
here t represents number of days car can drive without warning light.
Diego's family car holds 14 gallons of fuel. Each day the vehicle uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. a. Starting from a full tank, c...