Image shows a graph with the points

0,5
0.5,10
1,15
1.5,20
and so on

The graph illustrates how much Amanda makes watching her little cousins. Using the graph, predict how much Amanda will make if she watches them for seven hours. (1 point) Responses $75 $75 $70 $70 $110 $110 $105

3 answers

To predict how much Amanda will make if she watches her little cousins for seven hours, we can observe the pattern from the points on the graph.

The points show a linear relationship, where the y-values (Amanda's earnings) increase by 5 for every increase of 0.5 in the x-values (the hours she watches her cousins). This indicates that she earns $10 for each hour she watches them.

To calculate her earnings for seven hours:

\[ 7 \text{ hours} \times 10 \text{ dollars/hour} = 70 \text{ dollars} \]

Thus, Amanda will make $70 if she watches them for seven hours.

Wrong

Let's review the graph points again to determine Amanda’s earnings correctly.

The points given are:

  • (0, 5)
  • (0.5, 10)
  • (1, 15)
  • (1.5, 20)

From these points, we can see that for every increase of 0.5 hours, her earnings increase by $5.

To find her earnings after 7 hours:

  1. First, identify the pattern. In 0.5 hours, Amanda makes $10. Thus her rate of earning can be derived from these values:
    • At 1 hour (from (1, 15)), she makes $15.
    • At 1.5 hours (from (1.5, 20)), she makes $20.

The increase in earnings is consistent at $5 for every increase of 0.5 hours.

  1. Determine her earnings formula:

    • It appears that she earns $5 for each increase of 0.5 hours. Therefore, she earns $10 per hour.
  2. Calculate Amanda's earnings for 7 hours:

    • \[ 7 \text{ hours} \times 10 \text{ dollars/hour} = 70 \text{ dollars} \]

However, observing the initial points suggests that she is compensated $5 just for being there (starting amount) and earns additionally $5 for each subsequent half hour after the initial half hour.

Therefore, we'd count:

  • For the first 0 hours: $5
  • For each additional half hour from 0.5 to 7 hours: This can be calculated more accurately.

From 0 to 7 hours is 14 half-hours. So:

\[ \text{Earnings} = 5 + (14 \times 5) = 5 + 70 = 75 \]

Therefore, Amanda will make $75 if she watches them for seven hours. Thank you for your patience!