Help! Help! Help! William just lit a new candle and then let it burn all the way down to nothing. The length of the candle remaining unburned, in inches, can be modeled by the equation L = − 0.75 t + 15, where t represents the number of hours since the candle was lit. What is the x-intercept of the equation and what is its interpretation in the context of the problem?

Intercept = 15 ;

Meaning that the initial length of the candle at the time it was lit is 15.

Step-by-step explanation:

Given the model :

L = − 0.75 t + 15 ; represents the length of unburned candle, L after t hours since candle was lit.

Comparing the model equation to the general form of a linear regression equation :

y = bx + c

b = slope or gradient ; c = intercept

Comparing to the model ;

-0.75 = bx

15 = c

Hence, intercept, c = 15

Similarly;

L = − 0.75 t + 15

Put t = 0

L = - 0.75(0) + 15

L = 0 + 15

L = 15

Meaning that the initial length of the candle at the time it was lit is 15

c is the final : )

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: