Respuesta :
Answer:
The calculation is as follows:
Step-by-step explanation:
The computation is shown below:
a. According to the question, the data is given
P = ax + b
When x = 0 the P is $299 = b = 299
And, when x = 5 the P is $149 i.e.
5a + $299 = $149
5a = -$150
a = -$30
Here the equation would be
P = -$30x + $299
b. If x = 7
So,
P = -30(7) + $299
= -$210 + $299
= $89
The same is to be considered
If the price of a widget was $299, and the price dropped to $149 in 5 years, then:
a) The linear model is P = -30x + 299
b) The price in 7 years is $89
The original price of the widget, b = $299
The price after 5 years, P = $149
The number of years, x = 5
The given model is P = ax + b
Substitute x = 5, P = 149, and b = 299 into the equation to solve for a.
149 = 5a + 299
5a = 149 - 299
5a = -150
a = -150/5
a = -30
To get the linear model, substitute a = -30 and b = 299 into the equation
P = ax + b
P = -30x + 299
a) The linear model is P = -30x + 299
To get the price in 7 years, substitute x = 7 into the linear model in part a.
P = -30x + 299
P = -30(7) + 299
P = -210 + 299
P = 89
The price in 7 years is $89
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