Math  /  Algebra

Question13. Last year Conner paid 15%15 \% of his earmings in federal taxes. He paid $3000\$ 3000. Jose also paid 15%15 \% of his earnings in federal taxes, but he paid $3600\$ 3600. How much more did lose earn than Conner? (A) $4000\$ 4000 (c) $20,000\$ 20,000 (B) $6000\$ 6000 (D) $24,000\$ 24,000
14. The tahle shows the price of a bus ticket based on the number of miles traveled. Which equation represents the relationship between the ticket price pp and the number of miles traveled mm ? (F) p=2mp=2 m \begin{tabular}{|c|c|} \hline Miles & Price \\ \hline 100 & $50\$ 50 \\ \hline 150 & $70\$ 70 \\ \hline 200 & $90\$ 90 \\ \hline 250 & $110\$ 110 \\ \hline \\ \hline \end{tabular} (6) p=0.5mp=0.5 m (H) p=2π+10p=2 \pi+10 (I) p=0.4m+10p=0.4 m+10
15. During a trip, Josh recorded the amount of time it took him to travel the distances shown in the table below. \begin{tabular}{|l|c|c|c|c|} \hline Time (hours) & 2 & 5 & 7 & 8 \\ \hline Distance (miles) & 60 & 150 & 210 & 240 \\ \hline \end{tabular}

Which equation represents the relationship between distance dd and time tt ? (A) d=30td=30 t (C) d=30+td=30+t (B) t=30dt=30 d (D) t=d+30t=d+30
16. A stepped-out solution is shown below. 3(3x1)3(5x3)=49x315x+9=46x+6=46x+66=466x=26x6=26x=13\begin{aligned} 3(3 x-1)-3(5 x-3) & =4 \\ 9 x-3-15 x+9 & =4 \\ -6 x+6 & =4 \\ -6 x+6-6 & =4-6 \\ -6 x & =-2 \\ \frac{-6 x}{-6} & =\frac{-2}{-6} \\ x & =\frac{1}{3} \end{aligned}  Step 19x315x+9=4 Step 26x+6=4\begin{array}{lr} \text { Step } 1 & 9 x-3-15 x+9=4 \\ \text { Step } 2 & -6 x+6=4 \end{array}

Step 3 Step 4 Step 5 Step 6 Which property justifies Step 1? (F) Division Property of Equality (G) Suburaction Property of Equality (H) Commutative Property (I) Distributive Property

Studdy Solution
Identify the property used in Step 1 of the given solution:
Step 1 simplifies the expression 3(3x1)3(5x3) 3(3x - 1) - 3(5x - 3) to 9x315x+9 9x - 3 - 15x + 9 .
This uses the Distributive Property, which states that a(b+c)=ab+ac a(b + c) = ab + ac .
The answers are:
13. (A) 40004000
14. (I) p=0.4m+10 p = 0.4m + 10
15. (A) d=30t d = 30t
16. (I) Distributive Property

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