. A gas station is charging $3 per gallon for gasoline. Let x represent the amount (in gallons) of gasoline purchased, and let f(x) represent the cost (in dollars) of x gallons of gasoline. A. Evaluate f(10) and f(15). B. When (i. E. For what value of x) is f(x) = 21?

(A) F(10) = 30, F(15) = 45

(B) x = 3

Step-by-step explanation:

According to the scenario, calculation of given data are as follows,

Charge for 1 gallon = $3

Amount of gasoline purchased = x

and x gallons cost = f(x)

So, cost for 1 gallon = f(x) ÷ x = 3

or f(x) = 3x

(A). So, for F(10)

Put value of F as 3, then

F(10) = 3 × 10 = 30

Similarly, for f(15) = 3 × 15 = 45

(B) f(x) = 21

we can put the value of f as 3, and then find the value of x,

3 (x) = 21

x = 21 ÷ 3

x = 7

angles 1 and 3 are vertical angles, meaning that they are equal to each other. to solve this you may set angle 1 and 3 equal to each other and just solve for x like

110 = 2x + 10

100 = 2x

50 = x

check:

110 = 2* 50 + 10

110 = 100 + 10

110 = 110

hope this !

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