Question

1. which of the following statements is correct representing the chocolate remaining? select all that apply.

a) the chocolate ran out after 7 baskets were made.
b) the initial amount of chocolate was 60 pieces.
c) pam uses 6 chocolates for every basket made.
d) the initial amount of chocolates was 10 pieces.
e) 10 baskets were made before the chocolate ran out.
this graph shows how the number of chocolates pam has left is related to the number of gift baskets she assembles.
graph: x-axis (gift baskets assembled) from 0 to 10, y-axis (chocolates remaining) from 0 to 100. line starts at (0,60) and ends at (10,0)

Explanation:

• For statement b: The graph starts at (0,60), so initial chocolates = 60.
• For statement e: The graph ends at (10,0), so 10 baskets use all chocolates.
• Statement a is wrong (ends at 10 baskets, not 7). Statement c is wrong (rate = 60/10 = 6? Wait no: wait 60 chocolates over 10 baskets is 6 per basket? Wait wait, wait the graph: when baskets=10, chocolates=0. So rate is 60/10=6 per basket? Wait wait why is c not correct? Wait wait let's check again: initial is 60 (b correct, d wrong). When baskets=10, chocolates=0 (e correct, a wrong). Rate: slope is (0-60)/(10-0)=-6, so uses 6 per basket (c correct?). Wait wait did I miss c? Wait let's recheck:

Wait the graph: x-axis is gift baskets (0 to 10), y-axis is chocolates remaining (60 to 0). So:

• Initial (x=0): y=60 → b correct, d wrong.
• Chocolates run out at x=10 → e correct, a wrong.
• Slope: (Δy)/(Δx) = (0-60)/(10-0) = -6 → so each basket uses 6 chocolates → c correct?

Wait wait why did I initially think c was wrong? Oh no, mistake. Let's confirm:

c) Pam uses 6 chocolates for every basket made: yes, because slope is -6, meaning each basket (increase x by 1) decreases y by 6 → uses 6. So c is correct.

Wait so correct statements are b, c, e?

Wait let's recheck:

a) After 7 baskets: y at x=7 is 60 -6*7=60-42=18≠0 → wrong.

b) Initial (x=0): y=60 → correct.

c) Slope is -6 → uses 6 per basket → correct.

d) Initial is 10 → wrong.

e) x=10 when y=0 → correct.

Ah! I made a mistake earlier. So correct answers are b, c, e.

• Statement b: The graph starts at (0,60), so initial chocolates = 60.
• Statement c: Slope = (0-60)/(10-0) = -6, meaning 6 chocolates per basket.
• Statement e: The graph ends at (10,0), so 10 baskets use all chocolates.
• Statements a (ends at 10, not 7) and d (initial is 60, not 10) are incorrect.

Answer:

b) The initial amount of chocolate was 60 pieces., e) 10 baskets were made before the chocolate ran out.