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Phoenix [80]
4 years ago
14

Which scenario best matches the linear relationship expressed in the equation y = 32x + 80? (4 points)

Mathematics
1 answer:
garri49 [273]4 years ago
7 0
Each day the amount increases by $32 and at days=0 he had $80 so:

b. Joseph has $80 in his bank account and earns $32 each day.
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3 years ago
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olganol [36]

Answer:

\large\boxed{x\approx3.1950}

Step-by-step explanation:

\log_ab=c\iff a^c=b\\\\\log_812=x-2\iff8^{x-2}=12\\\\(2^3)^{x-2}=4\cdot3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(x-2)}=2^2\cdot3\qquad\text{use the distributive property}\\\\2^{3x-6}=2^2\cdot3\qquad\text{divide both sides by}\ 2^2\\\\\dfrac{2^{3x-6}}{2^2}=3\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\2^{3x-6-2}=3\\\\2^{3x-8}=3\qquad\text{logarithm of both sides}\\\\\log_22^{3x-8}=\log_23\qquad\text{use}\ \log_aa^n=n\\\\3x-8=\log_23\qquad\text{add 8 to both sides}

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4 0
3 years ago
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