Which table represents a linear function?
2 answers:
Answer:
(d) see attached
Step-by-step explanation:
A linear function has equally-spaced outputs for equally-spaced inputs. The given tables all have sequential values for x, so we can find the linear function by looking at the differences of y-values.
a) 2 -1 ≠ 4 - 2 . . . . not linear (exponential)
b) 1 -0 ≠ 3 -1 . . . . not linear (quadratic)
c) 1 - 0 ≠ 0 - 1 . . . . not linear
d) 3 -1 = 5 -3 = 7 -5 . . . . a linear function
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Answer:
5.5 ft tall
Step-by-step explanation:
The shadows cast by the pole and by the woman form <em>similar triangles</em>.
In similar triangles, corresponding sides are in the same proportion.
Thus,
18/28.8 = x/8.8
Multiply each side of the equation by 8.8
x = 8.8 × 18/28.8 = 5.5 ft
The woman is 5.5 ft tall.
