Question

at a parking garage in a large city, the charge for parking consists of a flat fee of $2.00 plus $1.60/hr.
part: 0 / 4
part 1 of 4
(a) write a linear function to model the cost for parking $p(t)$ for $t$ hours.
$p(t)=mt + b$
the charge for parking consists of a flat fee of $2.00 so the select is \square.
the rate of increase, $1.60/hr, is the select is \square.

Explanation:

Step1: Identify flat fee (y-intercept)

The flat fee is the constant term $b$ in $P(t)=mt+b$.
Flat fee = $\$2.00$, so $b=2.00$

Step2: Identify hourly rate (slope)

The hourly rate is the coefficient $m$ (rate of change).
Hourly rate = $\$1.60$/hr, so $m=1.60$

Step3: Build linear function

Substitute $m$ and $b$ into the linear form.
$P(t)=1.60t + 2.00$

Answer:

The charge for parking consists of a flat fee of $\$2.00$ so the **y-intercept ($b$)** is $2.00$.
The rate of increase, $\$1.60$/hr, is the **slope ($m$)** is $1.60$.
The linear function is $P(t)=1.60t + 2.00$