Somebody me! my grade is struggling so say the correct answer.

1. (a) y = 0.50 x+ 15

1. (b) The graph is a straight line

1. (c) Slope = 0.50; y-intercept = (0, 15)

Step-by-step explanation:

1. (a) The equation

There are two variables: the total rental cost (y) and the distance travelled (x).

The total rental cost depends on the distance travelled.

The initial cost is the $15 flat fee.

The rate at which the cost increases is $0.50/mi.

The equation for the relationship iss then

y = 0.50x + 15

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1. (b) The graph

The graph of the equation is a straight line on a coordinate plane (see below).

It shows that the cost starts at $15 and increases at a constant rate.

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1. (c) The slope and y-intercept

The y-intercept is the point at which the graph crosses the y-axis: (0, 15).

The equation for the slope is

Slope = (y₂ - y₁)/(x₂ - x₁)

Let’s pick the points

x₁  = 10,  y₁ = 20

x₂ = 90, y₂ = 60     Calculate the slope

Slope = (60 – 20)/(90 – 10)

Slope = 40/80

Slope = 0.50

The y-intercept represents the $15 flat fee and the slope represents the rate of $0.50/mi.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.