mbcarver27
contestada

Nicole took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip.
Write and solve an equation which can be used to determine z, the number of miles
in the taxi ride
​

Respuesta :

chocolatesunday127
Answer: 2.90 + 1.75z = 44.90
z = 24 miles
Steps:
2.90 + 1.75z = 44.90
1.75z = 44.90 - 2.90
1.75z = 42
z = 42/1.75
z = 24

Check:
2.90 + 1.75z = 44.90
2.90 + 1.75(24) = 44.90
2.90 + 42 = 44.90
44.90 = 45.90 ✅

I would appreciate the brainliest if this was helpful correct and had clear steps! :)
facundo3141592

The first thing we need to do is to find the linear equation that defines the total cost of the taxi ride as a function of the number of miles traveled.

We will find that z = 24.

We know that the taxi charges a fixed fee of $2.90, plus $1.75 per mile.

So if you travel for z miles, the total cost will be:

[tex]c(z) = \$2.90 + \$1.75 \cdot z[/tex]

Now that we have this linear equation if we know that the total fare was $44.90, then we have:

[tex]c(z) = \$2.90 + \$1.75 \cdot z = \$44.90[/tex]

Now we just need to solve the above equation for z:

[tex]\$2.90 + \$1.75 \cdot z = \$44.90\\\\\$1.75 \cdot z = \$44.90 - \$2.90 = \$42.00\\\\z = \$42.00/\$1.75 = 24[/tex]

Then we can see that she traveled for 24 miles.

If you want to learn more, you can read:

https://brainly.com/question/19770987

Otras preguntas