Question

What equation describes amount of money for taco truck 2, where A is the amount of money and T is the number of tacos sold.?

Answer 1

Data:

Truck 2 started $2 and sold 2 tacos for $1

A is the amount of money and T is the number of tacos sold

The equation of a line has the next general form:

`y=mx+b`

m is the slope or rate of change and b is the y-intercept (value of y when x is 0)

For the given situation:

1. To find the slope use the data as follow:

Truck 2 started $2:

`\begin{gathered} m=(A)/(T) \\ \\ \\ m=(1)/(2) \end{gathered}`

2. The y-intercept is the money truck 2 started (initial value)

`b=2`

Then, the equation for line that describes amount of money for taco truck 2 is:

`A=(1)/(2)T+2`