It is 2/3 hour before closing time at the grocery store. it takes about 1/6 hour for jane to find 1 item on her shopping list. how many items can she find before the store closes? write an expression for the situation. find the solution. show your work. state the solution as a full sentence.

It takes about h for Jane to find 4 items on her shopping list .

Step-by-step explanation:

First you must determine a variable "x", In this case it will be the amount of items that Jane can find in 2/3 hours, which is the value you have as an unknown (items that she can buy before the business closes)

You know that it takes about 1/6 h for Jane to find 1 item on her shopping list.

By ratio, which indicates in a division the relationship between two quantities, and proportion, indicates by equality the comparison of two reasons, you can express:

This last relationship is the model or expression used for this situation.

Now you solve this expression to calculate the value of "x":

÷

Dividing 12 by 3 to reduce the fraction, you get:

x= 4

This means that Jane can find 4 items before the store closes.

The solution as a full sentence is:

It takes about h for Jane to find 4 items on her shopping list

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0