Find an interpolating polynomial p(t) = a0 + a1t + a2t 2 + a3t 3 + a4t 4 + a5t 5 for these data (that is, find the coefficients a0, a1, of such a polynomial, so that p(0) = 0, p(2) = 2.90, p(4) = 14.8...).

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: