Question

Joseph owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50 for each topping that you want. This can be modeled by the equation C = .5x + 1.5, where C is the total cost of the hot dog and x is the number of toppings you ordered. Hattie sells hamburgers at the stand next door and has the same basic cost except she charges $2.50 for a plain hamburger and then $0.25 for each additional topping. How should she change Joseph's cost equation to represent her hamburger cost?

Answer 1

.25x+2.5=c. She would change the cost of the toppings and the total cost :)

Answer 2

Hot Dog Stand

Let

C--------> total cost of the hot dog

x-------> is the number of toppings

we know that

`C=0.5x+1.5`

where

The slope of the linear equation is equal to
`0.5(\$)/(topping)`

The y-coordinate of the y-intercept of the linear function is equal to
`\$1.5`

That means -------> This is the cost of the hot dog without topping

Hamburgers Stand

Let

C--------> total cost of the hamburger

x-------> is the number of toppings

we know that

`C=0.25x+2.50`

where

The slope of the linear equation is equal to
`0.25(\$)/(topping)`

The y-coordinate of the y-intercept of the linear function is equal to
`\$2.5`

That means -------> This is the cost of the hamburger without topping

therefore

the answer is

The linear equation of the hamburger cost is equal to

`C=0.25x+2.50`