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The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes. A graph titled Cost of Gift Cards. The x-axis shows the number of gift cards, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 10 to 90. Blue diamonds appear at points (1, 20), (2, 40), (3, 60), (4, 80). What would be the cost for 5 of the gift cards? $80 $90 $100 $110

Respuesta :

nenaboo

Answer:

100

Step-by-step explanation:

The cost for 5 of the gift cards is $100.

What is the equation of a straight line?

The general equation of a straight line is,

y = mx + c

where, m is the gradient

and c is the intercept on y-axis.

Let x be the number of gifts cards and y is total cost (in $).

Now,

we will find m and c using the points (1,20) , (2,40)

The slope, m = (40-20)/(2-1)

m = 20

∵ Equation of straight line is given as,

y = mx + c

Put the value of m,

∴ y = 20x + c

Substitute with the point (1,20) ⇒ y = 20 at x = 1

∴ 20 = 20 * 1 + c

or,20 = 20 + c

∴ c = 0

∴ The equation of the line, y = 20x

To find the cost for 5 of the gift cards substitute with x = 5

∴ y = 20 * 5 = 100

So, the cost for 5 of the gift cards = $100

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https://brainly.com/question/21627259

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