Question

Anita and Bonita work at a widget factory. The graph below shows the number of widgets each person can produce per hour.

The graph titled 'Widget production' has 'hours' from 0 to 9 in increments of 1 on the x axis and 'Number of widgets' from 0 to 9 in increments of 1 on the y axis has 2 slanting lines facing upwards showing Anita's line starting from (0, 0) and passing through point A at (4, 2) and Bonita's line starting from (0, 0) and passing through point B at (4, 6).

Select all of the statements which are correct.
A.
Bonita produces more widgets per hour than Anita.

B.
Point A shows that it took Anita 4 hours to make 2 widgets.

C.
Point B shows that it took Bonita 6 hours to make 4 widgets.

D.
Bonita can make 1.5 widgets in 1 hour.

E.
After 6 hours, Bonita makes 6 times as many widgets as Anita

Answer 1

Correct answers: A, B, D.

Explanations:
- Anita's slope = 2/4 = 0.5 widgets/hour; Bonita's slope = 6/4 = 1.5 widgets/hour, so A is true.
- Point A is (4,2), meaning 4 hours → 2 widgets, so B is true.
- Point B is (4,6), meaning 4 hours → 6 widgets, so C is false.
- Bonita's rate is 1.5 widgets per hour, so D is true.
- After 6 hours Anita makes 0.5·6 = 3 and Bonita makes 1.5·6 = 9, so Bonita makes 3 times (not 6 times) as many, making E false.