Web Analytics
Answered

A 5-mile cab ride costs $7.20. A 9-mile cab ride costs $11.60. Find a linear equation that models a relationship between cost c and distance d.



c = 1.44d + 4.40

d = 1.10c + 4.40

c = 1.29d + 1.70

c = 1.10d + 1.70

Verified Answer :

nobillionaireNobley

c - 7.2 = (11.6 - 7.2)/(9 - 4) (d - 5)
c - 7.2 = 4.4/4 (x - 5) = 1.1(d - 5)
c = 1.10d - 5.5 + 7.2
c = 1.10d + 1.70


The last option is correct.

calculista

Let

d--------> the distance in miles

c-------> the cost in dollars

\(A(5,7.20)\\B(9,11.60)\)

Step \(1\)

Find the slope AB of the linear equation

we know that

the formula to calculate the slope between two points is equal to

\(m=\frac{(c2-c1)}{(d2-d1)}\)

substitute the values in the formula

\(m=\frac{(11.60-7.20)}{(9-5)}\)

\(m=\frac{(4.40)}{(4)}\)

\(m=1.10\)

Step \(2\)

Find the equation of the line with m and the point A

\(A(5,7.20)\\m=1.10\)

we know that

the equation of the line in the point-slope form is equal to

\(c-c1=m*(d-d1)\)

substitute the values

\(c-7.20=1.10*(d-5)\)

\(c=1.10d-5.50+7.20\)

\(c=1.10d+1.70\)

therefore

the answer is the option

c = 1.10d + 1.70

Related Questions