Question

situation
mrs. harrison can watch 15 tik toks in 5 minutes. how many can she watch in 1 minute?
equation
write an equation to represent the situation. label each part
graph
title
table
describe in words why your graph is proportional.
take any point from the graph and explain what it means in the situation.
highlight the unit rate in your table, graph, and equation.

Explanation:

Step1: Find the unit - rate

To find out how many tik - toks Mrs. Harrison can watch in 1 minute, we use the formula for unit rate. Given that she can watch 15 tik - toks in 5 minutes, the unit rate $r$ is calculated as $r=\frac{\text{Number of tik - toks}}{\text{Number of minutes}}$. So, $r = \frac{15}{5}=3$ tik - toks per minute.

Step2: Write the equation

Let $x$ be the number of minutes and $y$ be the number of tik - toks. Since the number of tik - toks $y$ is directly proportional to the number of minutes $x$ with a constant of proportionality (unit rate) of 3, the equation is $y = 3x$, where 3 is the number of tik - toks watched per minute (the unit rate), $x$ is the input (number of minutes), and $y$ is the output (number of tik - toks).

Step3: Analyze the table

In the table, when $x = 0$, $y=0$; when $x = 1$, $y = 3$; when $x=2$, $y = 6$; when $x = 3$, $y=9$; when $x = 4$, $y = 12$. The ratio $\frac{y}{x}$ for non - zero $x$ values is always 3, which is the unit rate.

Step4: Analyze the graph

The graph of the equation $y = 3x$ is a straight line passing through the origin $(0,0)$. For any point $(x,y)$ on the line, the slope of the line (which represents the rate of change) is 3. For example, the point $(2,6)$ means that in 2 minutes, Mrs. Harrison can watch 6 tik - toks. The unit rate of 3 is represented by the slope of the line.

Answer:

Mrs. Harrison can watch 3 tik - toks in 1 minute. The equation is $y = 3x$, where $y$ is the number of tik - toks, $x$ is the number of minutes, and 3 is the unit rate (number of tik - toks per minute). In the table, the unit rate is the constant ratio $\frac{y}{x}=3$ for non - zero $x$ values. In the graph, the unit rate is the slope of the straight - line graph of $y = 3x$.