Question

Stacy started a banking account with $150 and is spending $7 per day on lunch. This situation models which type of function?

Answer 1

The function which models the situation will be:

• y = 7x + 150

Explanation:

The slope-intercept form of the linear line equation

`y = mx+b`

where

• m is the rate of change of slope

• b is the y-intercept

In our case,

• Let y be the amount in the bank

• Let x be the number of days

Given that Stacy started a banking account with $150. It means the initial condition is $150

Thus, the y-intercept b = 150

As stacy is spending $7 per day on lunch.

Thus, the rate of change or slope m = 7

now substituting b = 150 and m = 7 in the slope-intercept form

y = mx+b

y = 7x + 150

Therefore, the function which models the situation will be:

• y = 7x + 150