# Connecting Equations to Graphs (Part 1)

ID: fodis-poluf
Illustrative Math
Subject: Algebra, Algebra 2

# Connecting Equations to Graphs (Part 1)

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##### Problem 1

Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.

1) How many ounces of food were in the bag 12 days after Andre bought it?

2) How many days did it take for the bag to contain 16 ounces of food?

3) How much did the bag weigh before it was opened?

4) About how many days did it take for the bag to be empty?

##### Problem 2

A little league baseball team is ordering hats.

5) The graph shows the relationship between the total cost, in dollars, and the number of hats ordered.

What does the slope of the graph tell us in this situation?

a) $\text{It tells us that there is a fixed cost of approximately \35 for ordering hats.}$b) $\text{It tells us the amount that the total cost increases for each additional hat ordered.}$c) $\text{It tell us that when 9 hats are ordered, the total cost is approximately \160.}$d) $\text{It tells us that when the number of hats ordered increases by 10, the total cost increases by approximately \175.}$
##### Problem 3

A group of hikers is progressing steadily along an uphill trail. The graph shows their elevation (or height above sea level), in feet, at each distance from the start of the trail, in miles.

6) What is the slope of the graph?

9) Write an equation that represents the relationship between the hikers' distance from the start of the trail, ﻿$x$﻿, and their elevation, ﻿$y$﻿.

10) Does the equation ﻿$y - 250x = 500$﻿ represent the same relationship between the distance from the start of trail and the elevation?

True or false? Write below.