Question

You use the equation $y=0.18x$ to calculate the tip $y$ (in dollars) that you add to a bill for $x$ dollars. a. Solve the equation for $x$ . The rewritten equation is $x=$ . b. Find the amount of the bill (not including tip) when your tip is $4.95. The bill is $\$$ .

Answer 1

To solve for x in the equation y=0.18x, divide both sides by 0.18 to get x = y / 0.18. Using this, when the tip is $4.95, the bill before the tip is calculated as $27.50.

Step-by-step explanation:

To solve the equation y=0.18x for x, we need to isolate x. This can be done by dividing both sides of the equation by 0.18:

y = 0.18x
x = y / 0.18

This gives us the rewritten equation x = y / 0.18.

To find the amount of the bill (not including the tip) when the tip is $4.95, we substitute y with 4.95 in our rewritten equation:

x = 4.95 / 0.18
x = 27.5

Therefore, the bill without the tip is $27.50.

Answer 2

Step-by-step explanation:

Given the equation y = 0.18x, to solve for x, we will make the variable x as the subject of the formula from the equation given.

From the equation y = 0.18x

Divide both sides by the coefficient of x i.e 0.18

y/0.18 = 0.18x/0.18

y/0.18 = x

Hence the function of the variable x = y/0.18

b) Given the amount of the bill as y and x is the tip in dollars.

Given y = $4.95, we are to substitute the value of y = $4.95 into the resulting function in (a) to get x as shown;

Since x = y/0.18

x = $4.95/0.18

x = $27.5

Hence the bill is $27.5