Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Write an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny

Explanation:

x = price of camera before tax

1.07x = price of camera after tax

note how 1.07 is the result of 1 + 0.07

1 = 100%

0.07 = 7%

1.07 = 107%

So 1.07 means the price has gone up by 7%

Set 1.07x equal to 45 and solve for x

1.07x = 45

x = 45/1.07

x = 42.0560747663551

x = 42.06

The highest price Eddie can afford is $42.06, which is the value of the camera before tax is applied

note how 7% of 42.06 = 0.07*42.06 = 2.9442 = 2.94

So the tax is $2.94 which adds onto the $42.06 to get

2.94+42.06 = 45

stops on an even number.