Question

Write a mathematical sentence that expresses the information given below. Use p as your variable name:

Henry had charged 612 dollars to his credit card. The cost of his next purchase caused him to exceed his credit limit of 2000 dollars.

Answer 1

The mathematical sentence expressing that Henry's next purchase causes him to exceed his credit limit of $2000, after having already charged $612 is: 612 + p > 2000.

Step-by-step explanation:

We need to create a mathematical sentence using the variable p to represent the cost of the next purchase that causes Henry to exceed his credit card limit. Henry has already charged $612, so adding his next purchase p would give us the total amount charged on the card. Seeing as his credit card limit is $2000, and he exceeds this limit with his next purchase, we can say:

612 + p > 2000

This inequality expresses that after his next purchase, the total amount charged (including the previous $612) will be greater than $2000, hence exceeding the limit.