Home
/
Math
/
11. The cost of fuel depends on how much a customer buys and the cost per litre. One gas station sells regular gasoline for 1.55 per litre. a) Express the cost of the regular gasoline per litre. b) Determine the cost of 42 L of gasoline. c) Predict what a graph of the equation would look like. Explain your thinking.

Question

11. The cost of fuel depends on how much a customer buys and the cost per litre. One gas station sells regular gasoline for 1.55 per litre. a) Express the cost of the regular gasoline per litre. b) Determine the cost of 42 L of gasoline. c) Predict what a graph of the equation would look like. Explain your thinking.

11. The cost of fuel depends on
how much a customer buys
and the cost per litre. One gas
station sells regular gasoline
for 1.55 per litre.
a) Express the cost of the
regular gasoline per litre.
b) Determine the cost of
42 L of gasoline.
c) Predict what a graph of the
equation would look like.
Explain your thinking.

Solution

expert verifiedExpert Verified
3.7(237 Voting)
avatar
HankProfessional · Tutor for 6 years

Answer

### a) The cost of regular gasoline per litre is $\$1.55$.<br />### b) The cost of 42 L of gasoline is $\$65.10$.<br />### c) The graph of the equation $C = 1.55 \times L$ would be a straight line starting at the origin with a positive slope of 1.55, indicating a direct proportionality between litres purchased and total cost.

Explain

## Step 1: Express the cost of the regular gasoline per litre<br />### The cost of regular gasoline per litre is given as $\$1.55$. Therefore, the expression for the cost per litre is simply $C = 1.55 \times L$, where $C$ is the total cost and $L$ is the number of litres purchased.<br /><br />## Step 2: Determine the cost of 42 L of gasoline<br />### To find the cost of 42 litres of gasoline, we use the formula from Step 1. Substitute $L = 42$ into the equation:<br />\[<br />C = 1.55 \times 42<br />\]<br />Calculating this gives:<br />\[<br />C = 65.10<br />\]<br />Thus, the cost of 42 litres of gasoline is $\$65.10$.<br /><br />## Step 3: Predict what a graph of the equation would look like<br />### The equation $C = 1.55 \times L$ represents a linear relationship between the total cost ($C$) and the number of litres ($L$). The graph of this equation would be a straight line passing through the origin (0,0) with a slope of 1.55. This means that for every additional litre purchased, the cost increases by $\$1.55$. The line will extend upwards to the right, indicating that as more litres are purchased, the total cost increases proportionally.
Click to rate: