Question

Jacqueline records the height of her plant for three months. Her plants grow by 7 less than the product of n and 3 where n is the number of months. If the pattern continues, what algebraic expression can jacqueline use to find the plant's height for any month?

a.h=3n−7
b. h=7n−3
c. h=3n+7
d. h=7n+3

Answer 1

The correct algebraic expression for the height of Jacqueline's plant as it grows over time is h = 3n - 7, reflecting the plant's growth pattern of tripling the month number and subtracting 7.

Step-by-step explanation:

The algebraic expression that Jacqueline can use to find the plant's height for any month is given by the relationship, "the plant grows by 7 less than the product of n and 3," where n is the number of months. This can be expressed mathematically as height (h) equals the product of 3 and n, subtracting 7. Therefore, the correct expression is h = 3n - 7.

To further clarify, every month the plant grows by three times the number of that month (3n) and then we subtract 7 from this figure. For example, after 1 month the height increase will be (3 × 1) - 7 = 3 - 7 = -4 (assuming the negative result here is part of a larger growth calculation and the plant initially has a positive height).