during the summer, tyler delivers packages and miranda cares for animals on a farm. to show their earnings…

during the summer, tyler delivers packages and miranda cares for animals on a farm. to show their earnings, tyler makes a graph and miranda makes a table. which statement is true? miranda earns $6.80 more per hour than tyler. tyler earns $4.40 more per hour than miranda. miranda earns $2.20 more per hour than tyler. tyler earns $1.10 more per hour than miranda.

during the summer, tyler delivers packages and miranda cares for animals on a farm. to show their earnings, tyler makes a graph and miranda makes a table. which statement is true? miranda earns $6.80 more per hour than tyler. tyler earns $4.40 more per hour than miranda. miranda earns $2.20 more per hour than tyler. tyler earns $1.10 more per hour than miranda.

Answer

Explanation:

Step1: Find Tyler's hourly - rate

The slope of Tyler's graph represents his hourly rate. Since the slope of Tyler's graph is 9, Tyler earns $9 per hour.

Step2: Find Miranda's hourly - rate

Use the formula for the rate of change (unit rate) $r=\frac{\text{Change in Earnings}}{\text{Change in Time}}$. For Miranda, when the time changes from 4 hours to 5 hours (a change of $\Delta t = 5 - 4=1$ hour), the earnings change from $44.80 to $56.00 (a change of $\Delta E=56.00 - 44.80 = 11.20$). So Miranda's hourly rate $r=\frac{56.00 - 44.80}{5 - 4}=\frac{11.20}{1}=11.20$ dollars per hour.

Step3: Find the difference in their hourly rates

Subtract Tyler's hourly rate from Miranda's hourly rate: $11.20−9 = 2.20$.

Answer:

Miranda earns $2.20 more per hour than Tyler.