Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

thus, the linear function is $p(t) = 1.60t + 2.00$ for $t > 0$. part: 2…

Question

thus, the linear function is $p(t) = 1.60t + 2.00$ for $t > 0$.
part: 2 / 4
part 3 of 4
(b) evaluate $p(1.8)$ and interpret the meaning in the context of this problem.
substitute 1.8 for $t$.
$p(1.8) = 1.60(1.8) + 2 = 4.88$
part: 3 / 4
part 4 of 4
$p(1.8) = 4.88$ means that
options:
it costs $1.80 to park for 4.88min
it costs $1.80 to park for 4.88hr
it costs $4.88 to park for 1.8min
it costs $4.88 to park for 1.8hr

Explanation:

Step1: Identify variable meanings

In $P(t)=1.60t+2.00$, $t$ = parking time (hours), $P(t)$ = cost (dollars).

Step2: Match value to context

$P(1.8)=4.88$ means $t=1.8$ hours, cost = $4.88.

Answer:

It costs $4.88 to park for 1.8hr