Question

sc2: i can create a best-fit model and interpret the meaning of constants and coefficients in context
the model $y=50x+300$ represents total earnings. what does the 300 represent?
○ growth rate
○ weekly increase
○ maximum value
○ starting amount

question 4 1 pts
sc2: i can create a best-fit model and interpret the meaning of constants and coefficients in context
the model $y = 100(1.05)^x$ represents savings. what does the 1.05 represent?
○ 5% growth rate
○ number of months
○ starting balance
○ total increase

Explanation:

For the first model $y=50x+300$, this is a linear equation in the form $y=mx+b$, where $b$ is the value of $y$ when $x=0$, meaning the initial amount before any $x$ (e.g., hours worked, units sold) is added. For the second model $y = 100(1.05)^x$, this is an exponential growth equation in the form $y=a(1+r)^x$, where $1+r$ is the growth factor; subtracting 1 gives the growth rate as a decimal, so $1.05-1=0.05$ or 5%.

Answer:

1. starting amount
2. 5% growth rate