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The graph below represents the number of minutes used versus the cost. Select the equation that matches the graph. (8.5I)
A.
y=2.5 x+2
B.
y=x+2
C.
y=2.5 x
D.
y=x^(2)

$7$ . The graph below represents the number of minutes used versus the cost. Select the equation that matches the graph. ( $8$ . $5$ I) $\newline$ A. $y=2.5 x+2$ $\newline$ B. $y=x+2$ $\newline$ C. $y=2.5 x$ $\newline$ D. $y=x^{2}$

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Evaluate a linear function: word problems

Full solution

Q.

7

. The graph below represents the number of minutes used versus the cost. Select the equation that matches the graph. (

8

.

5

I)

\newline

A.

y=2.5 x+2

\newline

B.

y=x+2

\newline

C.

y=2.5 x

\newline

D.

y=x^{2}

Identify y-intercept: Look at the graph's y-intercept, that's where it crosses the y-axis. The y-intercept is at $(0, 2)$ . So, the equation must have $+2$ at the end, cuz that's where it starts. That rules out C.
Calculate slope: Now, check the slope. The slope is the rise over run, right? So, if for every $1$ minute (the run), the cost (the rise) goes up by $\$2.5$ , then the slope is $2.5$ . That means the equation's gotta start with $y=2.5x$ . So, $A$ is looking good, and $B$ and $D$ are out.
Verify with point: Just to be sure, plug in a point from the graph into the equations left. Let's say we use the point $(4, 12)$ from the graph. If we put $4$ in for $x$ in equation A, we get $y=2.5(4)+2$ , which is $y=10+2$ , and that's $y=12$ . That matches the graph!
Final equation: So, the equation that matches the graph is $y=2.5x+2$ , which is option $A$ .

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