Lo is leaving from work today at 5:30 p. m. she has errands to run before she meets her friends for dinner at 8 p. m. if it takes lo of an hour to run each errand, how many errands does she have time to run between work and dinner?

2.5 errands

Step-by-step explanation:

Given:

Lo is leaving from work today at 5:30 p.m

She has errands to run before she meets her friends for dinner at 8 p.m

If it takes lo of an hour to run each errand,

To find:

How many errands does she have time to run between work and dinner?

Solution:

First of all we have to find how many hours are there in between 5:30 pm and 8:00 pm,

From 5:30 pm to 6:00 pm =        (30 minutes)

Then from 6:00 pm to 8:00 pm = 2 hours

So the total number of hours =

As it is given that it takes Lo of an hour to run each errand, then the total number of errands is,

In one hour number of errand = 1

In 2.5 hours number of errand =

Therefore, she have 2 complete errands and one half errands  to run between work and dinner.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)