The amount of money (m) spent at the gas station varies directly with the number of gallons (g) purchased. When 13 gallons of gas was purchased the cost was 806 Php.
a. Write the general equation that represents the situation.
b. Determine the value of the constant of variation k.
c. How many gallons of gas were purchased if the amount paid is 2,170 Php?
a. Write the general equation that represents the situation.
b. Determine the value of the constant of variation k.
c. How many gallons of gas were purchased if the amount paid is 2,170 Php?
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Answer:
a. The general equation that represents the situation is:
m = kg
where m is the amount of money spent at the gas station, g is the number of gallons purchased, and k is the constant of variation.
b. To find the value of k, we can use the given information that when 13 gallons of gas was purchased the cost was 806 Php. So, we can substitute these values into the equation and solve for k:
806 = k(13)
k = 62
Therefore, the equation that represents the situation is: m = 62g.
c. To find how many gallons of gas were purchased if the amount paid is 2,170 Php, we can substitute the given information into the equation and solve for g:
2,170 = 62g
g = 35
Therefore, 35 gallons of gas were purchased if the amount paid is 2,170 Php.
Step-by-step explanation: