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stealth61 [152]
4 years ago
14

A 3-mi cab ride costs $7.30. A 8-mi cab ride costs $15.30. Find a linear equation that models a relationship between cost c and

distance d.
Select one:
a. c = 1.91d + 2.50
b. d = 1.60c + 8.00
c. c = 1.60d + 2.50
d. c = 2.43d + 8.00
Mathematics
1 answer:
Rus_ich [418]4 years ago
4 0

Answer:

Option c) c=1.60d+2.5

Step-by-step explanation:

Let

d -----> the distance in miles

c ----> the cost in dollars

we have the ordered pairs

(3,7.30)  and (8,15.30)

step 1

Find the slope of the linear equation

The slope is equal to

m=\frac{15.30-7.30}{8-3}

m=\frac{8}{5}

step 2

Find the equation of the line in point slope form

c-c1=m(d-d1)

we have

point\ (3,7.30)

m=\frac{8}{5}

substitute

c-7.30=\frac{8}{5}(d-3)

c=\frac{8}{5}d-\frac{24}{5}+7.30

c=1.60d+2.5

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bazaltina [42]

Answer:

8.4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Seamstress Jane has purchased 50 yards of red fabric and 110 yards of gold fabric to make red and gold curtains. What is the lar
Alisiya [41]

Answer: There are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.

There are 5 red fabrics and 11 gold fabrics that would be used for each curtain.

Step-by-step explanation:

Since we have given that

Number of yards of red fabric purchased by Jane = 50

Number of yards of gold fabric purchased by Jane = 110

We need to find the largest number of curtains she can make if she wants all the curtains to be exactly the same length.

For this we will find H.C.F. of 50 and 110.

Factors of 50 = 1, 2, 5, 10, 25, 50.

Factors of 110 = 1, 2, 5, 10, 11, 22, 55, 110.

So, Highest common factor of 50 and 110 is 10.

So, there are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.

Number of yards of red fabric is given by

\frac{50}{10}=5

Number of yards of gold fabric is given by

\frac{110}{10}=11

Hence, there are 5 red fabrics and 11 gold fabrics that would be used for each curtain.

4 0
3 years ago
Please tell me if # 6 and 7 is correct
lesantik [10]
#6 is incorrect
it's 6 7/8
#7 is correct
6 0
3 years ago
Need help nowwww!!! With 1 threw 8
JulijaS [17]

1. B

2. B

3.C

4.B

5.B

6.A

6 0
3 years ago
A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation
Alexxx [7]
Ok

y=-0.04x^2+8.3x+4.3
when the rocket reaches the ground (when height=0, ie when y=0), then the rocket will land, find the x coordinate

set y=0
0=-0.04x^2+8.3x+4.3
use quadratic formula
if you have ax^2+bx+c=0, then
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
a=-0.04
b=8.3
c=4.3
x=\frac{-8.3+/- \sqrt{8.3^{2}-4(-0.04)(8.3)} }{2(-0.04)}
x=208.017 or -0.516785
xrepresents horizontal distance
you cannot have a negative horizontal distance unless you fired and theh wind blew it backwards
therefor x=280.017 is the answer
208.02 m


7 0
4 years ago
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