Teresa says she stacks about 7 dishes by hand every minute.

Question

What line represents Teresa’s statement?

Responses

Line a
Line a

Line b
Line b

Line c
Line c

Line d
Line d
Coordinate plane. Quadrant 1 only. X axis labeled time in minutes and runs from 0 to 10. Y axis labeled number of dishes and runs from 0 to 11. Four rays a, b, c, d on the coordinate plane each start at the origin and each point north east. Ray c runs through begin coordinate point 2 comma 3 end coordinate point. Ray d is below ray c and runs through begin coordinate point 7 comma 5 end coordinate point. Ray b is above ray c and runs roughly through begin coordinate point 2 comma 8 end coordinate point. Ray a is above ray b and runs roughly through coordinate point 1 comma 7 end coordinate point.

Answer 1

To represent Teresa’s statement that she stacks about 7 dishes by hand every minute, we need to find a line or ray that reflects this rate of work.

Teresa's rate indicates that for every minute (x-axis), she stacks about 7 dishes (y-axis). This means that if we plot the point (1 minute, 7 dishes), it should lie on the line or ray we are considering.

From your description, we analyze the rays:

1. Ray a runs roughly through (1, 7). This suggests that it might represent a rate that is consistent with Teresa's statement since it corresponds with her stated rate of 7 dishes per minute.
2. Ray b runs through (2, 8), which indicates more than 7 dishes per minute, so it's not a match.
3. Ray c goes through (2, 3), indicating less than 7 dishes, so it's not a match.
4. Ray d goes through (7, 5), so it's also not a suitable match.

Based on this reasoning, the correct line that represents Teresa's statement is Line a.