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17. the amount of meat needed based on the number of lions is shown in …

Question

  1. the amount of meat needed based on the number of lions is shown in the graph
  • let s represents the number of lions to be fed
  • let p represents the pounds of meat needed to feed the lions

write an equation to represent this situation
enter the quantity of meat needed (in pounds) to feed 7 lions at the same rate.

Explanation:

Step1: Find meat per lion

Take the first data point: $s=1$, $p=30$. Calculate the rate:
$\frac{p}{s} = \frac{30}{1} = 30$
Verify with another point: $s=2$, $p=60$. $\frac{60}{2}=30$, so the rate is constant.

Step2: Write the equation

Since pounds $p$ equals 30 times the number of lions $s$:
$p = 30s$

Step3: Calculate for 7 lions

Substitute $s=7$ into the equation:
$p = 30 \times 7$

Answer:

Equation: $p=30s$
Pounds for 7 lions: 210