Question

Ellis can spend up to $40 for gasoline and a carwash at a service station. The carwash will cost $6.00, and gasoline costs $4.50 per gallon. The inequality below can be solved for g, the number of gallons of gasoline Ellis can buy. 4.5g + 6 ≤ 40
A.Ellis can buy over 10 gallons of gasoline.
B.Ellis can buy at most 7 gallons of gasoline.
C.Ellis can buy 6 gallons of gasoline but not 7 gallons.
D.Ellis can buy 7 gallons of gasoline but not 8 gallons.

Answer 1

Solving the inequality for g

Move the 6 over by subtraction and you have:

4.5g ≤ 34

Then divide each side by 4.5

g = 7.55555

So Ellis can purchase at lease 7 gallons but not 8  (D)

Answer 2

The statement that represents the solution is Ellis can buy at most 7 gallons of gasoline.

Inequality expression

Inequalities are expression not separated by an equal sign. Given the equation for the number of gallons of gasoline Ellis can buy expressedas:

4.5g + 6 ≤ 40

Subtract 6 from both sides

4.5g + 6 - 6≤  40 - 6

4.5g ≤  40 - 6

4.5g ≤  34

g≤ 34/4.5
g ≤ 7.6

Hence the statement that represents the solution is Ellis can buy at most 7 gallons of gasoline.

Learn more on inequality here: https://brainly.com/question/24372553

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