9514 1404 393
Answer:
(a) F -40 = 1/4x
(b) 220 chirps per minute
(c) 78 °F
Step-by-step explanation:
(a) Translate the words to a math expression using the given variable definitions.
F - 40 . . . . . Fahrenheit temperature decreased by 40
= . . . . . . . . .is equivalent to
1/4x . . . . . . 1/4 of the number of cricket chirps
Then the equation for the relationship is ...
F - 40 = 1/4x
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(b) Substitute F = 95 and solve for x:
95 -40 = 1/4x
55×4 = x = 220
At 95 °F, about 220 chirps per minute should be recorded.
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(c) Substitute x=152 and solve for F:
F -40 = 1/4(152)
F = 40 +38 = 78
For 152 chirps per minute the formula predicts a temperature of 78 °F.
