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garik1379 [7]
2 years ago
12

Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car. Each hour that he drives, his car uses up

1.25 gallons of gas. Write an equation to represent the scenario. How much gas will Dominic have in 3 hours?
Mathematics
1 answer:
Nostrana [21]2 years ago
6 0

Answer:

(a) Equation: T_n = 11.25 - 1.25n

(b) 7.5 gallons

Step-by-step explanation:

Given

Current Gas = 10 gallon

Every Hour = -1.25 gallon

Solving for (a): An equation for the scenario

This question represents an Arithmetic Progression and will be solved using the following formula:

T_n = a + (n - 1)d

Where

a = 10

d = -1.25

Substitute these values in the formula

T_n = 10 + (n - 1) * -1.25

T_n = 10 -1.25n +1.25

Collect Like Terms

T_n = 10 + 1.25 - 1.25n

T_n = 11.25 - 1.25n

Solving for (b): In this case, n - 3

Substitute 3 for n in T_n = 11.25 - 1.25n

T_3 = 11.25 - 1.25 * 3

T_3 = 11.25 - 3.75

T_3 = 7.5

<em>7.5 gallon of gas left</em>

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