The Prize Pretzel Company most popular pretzel sells for $4.80 per bag. The table below shows the cost of these pretzels in various years. ¡ Assuming the price change at a steady rate, what was the price of the pretzels in 1975?

The Prize Pretzel Company most popular pretzel sells for 480 per bag The table below shows the cost of these pretzels in various years Assuming the price change class=

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Answer:

The price of pretzels in 1975 = $1.80

Step-by-step explanation:

To answer this question we are assuming the steady rate means linear.Let x be the year and y be the price.

We need to find the slope

m = (y2-y1)/(x2-x1)

  = (4.80-4.05)/(2015-2005)

  =.75/10

 = .075

The slope is .075

We can use the point slope form of the equation  

y-y1 = m(x-x1)

y-4.80 = .075(x-2015)

Distribute

y - 4.80 = .075x -151.125

Add 4.80 to each side

y - 4.80+4.80 = .075x -151.125+4.80

y =  .075 x - 146.325

We want to find out how much pretzels were in 1975.  Put in x=1975

y = .075(1975) -146.325

y = 148.125-146.325

y=1.80

Answer:

1.8

Step-by-step explanation:

since the rate of change a decrease of .75 we would have to minus each number before the other by .75

3.30-.75=2.55

2.55-.75=1.8