You fill your car with 15 gallons of gas at a cost of $45. Using fractional notation, how do you write a proportion that shows how much 5 gallons of gas will cost? Use x to represent the unknown cost.(1 point)

Question

Responses

1545=5x
Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction

15x=455
Start Fraction 15 over x End Fraction equals Start Fraction 45 over 5 End Fraction

1545=x5
Start Fraction 15 over 45 End Fraction equals Start Fraction x over 5 End Fraction

15:45::x:5
ratio of 15 to 45 colon colon ratio of x to 5

Answer 1

To write a proportion showing how much 5 gallons of gas will cost, you can use the amount of gas and its corresponding cost. Since 15 gallons costs $45, the proportion can be expressed as:

\[ \frac{15}{45} = \frac{5}{x} \]

This means that 15 gallons corresponds to $45, and you want to find out how much 5 gallons will cost, represented by \( x \).

Therefore, the correct choice from the options provided is:

Start Fraction 15 over 45 End Fraction = Start Fraction 5 over x End Fraction.

Answer 2

Determine if 2.510=?1248 or 2.52=?1224 is a proportion.(1 point)
Responses

2.52=1224
Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction

2.510=1248
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction

Neither is a proportion.
Neither is a proportion.

Both are proportions.

Answer 3

To determine if the given statements represent proportions, we can check if the ratios are equivalent for both options.

1. For \( 2.510 = 1248 \):

   • Express it as a fraction: \( \frac{2.5}{10} \) and \( \frac{12}{48} \).
   • Calculate \( \frac{2.5}{10} = 0.25 \) and \( \frac{12}{48} = \frac{1}{4} = 0.25 \).
   • Since \( 0.25 = 0.25 \), this is a proportion.

2. For \( 2.52 = 1224 \):

   • Express it as a fraction: \( \frac{2.52}{2} \) and \( \frac{12}{24} \).
   • Calculate \( \frac{2.52}{2} = 1.26 \) and \( \frac{12}{24} = 0.5 \).
   • Since \( 1.26 \neq 0.5 \), this is not a proportion.

Therefore, the conclusion is:

The first statement (2.510 = 1248) is a proportion, while the second statement (2.52 = 1224) is not a proportion.

Answer 4

Determine if one, both, or neither of the following is a proportion. 168=?2412 , 84=?126 (1 point)
Responses

84=126 only
Start Fraction 8 over 4 End Fraction equals Start Fraction 12 over 6 End Fraction only

168=2412, 84=126
Start Fraction 16 over 8 End Fraction equals Start Fraction 24 over 12 End Fraction , Start Fraction 8 over 4 End Fraction equals Start Fraction 12 over 6 End Fraction

Neither is a proportion.
Neither is a proportion.

168=2412 only

Answer 5

To determine if each of the given statements represents proportions, we will analyze both statements.

1. For \( 168 = 2412 \):

   • Express this as a fraction: \( \frac{168}{24} \) and \( \frac{12}{2} \).
   • First, simplify the fractions:
     • \( \frac{168}{24} = 7 \)
     • \( \frac{12}{2} = 6 \)
   • Since \( 7 \neq 6 \), this is not a proportion.

2. For \( 84 = 126 \):

   • Express this as a fraction: \( \frac{84}{12} \) and \( \frac{6}{1} \).
   • Simplifying:
     • \( \frac{84}{12} = 7 \)
     • \( \frac{6}{1} = 6 \)
   • Since \( 7 \neq 6 \), this is also not a proportion.

Thus, the answer is:

Neither is a proportion.