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pentagon [3]
3 years ago
6

While on vacation in Dallas, Texas, the cab ride for the DFW airport to the hotel is 15 miles. The total cost of the cab ride wa

s $25.50. The cab driver charges $1.50 permile for the entire trip. Write an equation that can be used to determine how much a cab ride would cost anywhere in Dallas.
Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

c=1.50x+3, where:

c=total cost of a cab ride anywhere in Dallas.

x=number of miles

Step-by-step explanation:

From the information given, you can multiply the price per mile for the number of miles:

1.5*15=22.5

You know that the total cost of the cab ride for the DFW airport to the hotel was 25.50:

25.50-22.50=3

This indicates that there is an additional charge for $3.

From this, you can say that the total cost of a cab ride anywhere in Dallas would be equal to the price per mile for the number of miles plus 3. According to this, the equation to calculate the total cost of a cab ride would be:

c=1.50x+3, where:

c=total cost of a cab ride anywhere in Dallas.

x=number of miles

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3 years ago
Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
emmasim [6.3K]

Using <u>linear function concepts</u>, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which represents by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The explanatory variable fat is the input.
  • The response variable calories is the output.

The equation is:

y = 121 + 1.42x

  • The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
  • The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622

8 0
2 years ago
Please help! 35 equals 45-n;10,11,12
Alex
35 = 45 -12
Nope

35 = 45 -11
Nope

35 = 45 - 10
Yep!

10 is your answer!

<span>Hope I helped! (Pick my answer as brainliest!)</span>
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f(2) = 6(2)² = 24

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