Question

question 1-7
jamie opens an account with a $400 deposit that earns 7% simple interest annually. she makes no other deposits
this situation can be modeled by a function that grows each year.
after 4 years, jamie will have earned in interest.
linear
quadratic

Explanation:

Step1: Recall Simple Interest Formula

The formula for simple interest is $I = P \times r \times t$, where $P$ is principal, $r$ is rate (decimal), $t$ is time (years). Here, $P = 400$, $r = 0.07$, $t$ is variable.

Step2: Analyze Function Type

For simple interest, interest $I$ depends on $t$ as $I = 400 \times 0.07 \times t = 28t$. This is a linear function (form $y = mx + b$, here $b = 0$, $m = 28$), since it has a constant rate of change (slope) and no exponent on $t$ other than 1. Quadratic would have $t^2$, which isn't the case here.

Step3: Calculate Interest After 4 Years

Substitute $t = 4$ into $I = 28t$: $I = 28 \times 4 = 112$.

Answer:

First blank: linear; Second part (interest): 112