teresa says she stacks about 7 dishes by hand every minute. what line represents teresas statement? line a…

Answer:

Line a

Explanation:

Step1: Calculate the slope for each line

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). For line (a), when (x = 1), (y=11) (approximate). So (m_a=\frac{11 - 0}{1-0}=11) (incorrect). Wait, no, wait the vertical axis is number of dishes. Wait, actually, for Teresa, rate is 7 dishes per minute. The slope of a line in a (y)- (number of dishes) vs (x)- (time in minutes) graph is (m=\frac{\text{change in }y}{\text{change in }x}). If we assume at (x = 1) minute, for line (a): assume (y = 7) (since the rate is 7 per minute). Looking at the graph (by visual inspection of the grid - if each unit on (x) is 1 minute and on (y) is 1 dish). For line (a), at (x = 1), (y\approx7). For line (b): at (x = 1), (y\approx10) (slope (m_b = 10)). For line (c): at (x=5), (y = 6) (slope (m_c=\frac{6}{5}=1.2)). For line (d): at (x = 10), (y=7) (slope (m_d=\frac{7}{10} = 0.7)). Since Teresa's rate is 7 dishes per minute (slope (m = 7)), and by visual approximation (assuming the grid where at (x = 1), line (a) reaches (y = 7) (as per the rate 7 per minute).

So the line that represents Teresa's statement (7 dishes per minute) is line (a) (assuming correct visual - matching the rate as slope (m = 7) (dishes per minute) which is (y/x) in the graph).

Final Answer Line (a) represents Teresa's statement.