The cost of a taxi ride is a linear function of the distance traveled. if a 5-mile ride costs $12 and a 9-mile ride costs $14, which equation can be used to find the cost, c, for any distance, m, traveled?
a. c-12 = 1/2 (m-5)
b. c-12 = 2 (m-5)
c. c-9 = 1/2 (m-5)
d. c-9 = 2 (m-5)

The equation used for find cost c for m distance travelled is .

Option (a) is correct .

Step-by-step explanation:

As given

The cost of a taxi ride is a linear function of the distance traveled.

As m represented the distance travelled and c represented the cost .

Thus

(m , c)

As given

If a 5-mile ride costs $12 and a 9-mile ride costs $14 .

(5,12) and (9,14)

Formula

Putting the values in the above

Therefore the equation used for find cost c for m distance travelled is .

Option (a) is correct .

figure c

step-by-step explanation:

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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