When buying gasoline,you notice that 16 gallons of gasoline is approximately the same amount of gasoline as 51 liters.Use this information to find a linear model that relates liters y to gallons x.Then use the model to find the numbers of liters in 25 gallons and 45 gallons. (Round your answer to one decimal place. )

A)Model: y = $\frac { 16 } { 51 }$ x;7.8 L,14.1 L
B)Model: y = $\frac { 51 } { 16 }$ x;79.7 L,14.1 L
C)Model: y = $\frac { 51 } { 16 }$ x;7.8 L,143.4 L
D)Model: y = $\frac { 51 } { 16 }$ x;79.7 L,143.4 L
E)Model: y = $\frac { 16 } { 51 }$ x;79.7 L,143.4 L

Question

When buying gasoline,you notice that 16 gallons of gasoline is approximately the same amount of gasoline as 51 liters.Use this information to find a linear model that relates liters y to gallons x.Then use the model to find the numbers of liters in 25 gallons and 45 gallons. (Round your answer to one decimal place. )
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A)Model: y = $\frac { 16 } { 51 }$ x;7.8 L,14.1 L
B)Model: y = $\frac { 51 } { 16 }$ x;79.7 L,14.1 L
C)Model: y = $\frac { 51 } { 16 }$ x;7.8 L,143.4 L
D)Model: y = $\frac { 51 } { 16 }$ x;79.7 L,143.4 L
E)Model: y = $\frac { 16 } { 51 }$ x;79.7 L,143.4 L

Quizplus · Accepted Answer

The correct linear model to convert gallons (x) to liters (y) is $y = \frac{51}{16}x$, because 16 gallons is equivalent to 51 liters. Using this model, 25 gallons is approximately 79.7 liters, and 45 gallons is approximately 143.4 liters.

When Buying Gasoline,you Notice That 16 Gallons of Gasoline Is 1651\frac { 16 } { 51 }5116​

When Buying Gasoline,you Notice That 16 Gallons of Gasoline Is $\frac { 16 } { 51 }$