It is fore multiple things. if thats your quiestion. y can =4 and x=0, or x can = 2 and y=0.
Answer:
the last picture
Step-by-step explanation:
the one where the line hits the -3 mark on the y-axis
Answer:
132 tiles
Step-by-step explanation:
Each tile cost $4
The adhesive/grouting material costs $17.82.
If the contractor pays a total of $545.82
Let the number of tiles be represented as x
The equation is represented as:
$17.82 + $4 × x = $545.82
17.82 + 4x = 545.82
Collect like terms
4x = 545.82 - 17.82
4x = 528
Divide bother sides by 4
4x/4 = 528/4
x = 132
The number of ceramic tiles the contractor bought = 132 tiles
Considering there is a function (relationship) and that it is linear, the distance will change proportionally to time constantly. In other words, we are taking the speed to be constant throughout the journey.
If we let:
t = time (min's) driving
d = distance (miles) from destination
Then we can represent the above information as:
t = 40: d = 59
t = 52: d = 50
If we think of this as a graph, we can think of the x-axis representing time and the y-axis representing the distance to the destination. Being linear, the function will be a line, i.e. it will have a constant gradient. If you were plot the two points inferred from the information and connect the two dots, you will get a declining line (one with a negative gradient) representing the inversely proportional relationship or equally, the negative correlation between the time driving and the distance to the destination. The equation of this line will be the linear function that relates time and the distance to the destination. To find this linear function, we do as follows:
Find the gradient (m) of the line:
m = Δy/Δx
In this case, the x-values are t-values and our y-values are d-values, so:
Δy = Δd
= 50 - 59
= -9
Δx = Δt
= 52 - 40
= 12
m = -9/12 = -3/4
Note: m is equivalent to speed with units: d/t
Use formula to find function and rearrange to give it in the desired format:
y - y₁ = m(x - x₁)
d - 50 = -3/4(t - 52)
4d - 200 = -3t + 156
4d + 3t - 356 = 0
Let t = 70 to find d at the time:
4d + 3(70) - 356 = 0
4d + 210 - 356 = 0
4d - 146 = 0
4d = 146
d = 73/2 = 36.5 miles
So after 70 min's of driving, Dale will be 36.5 miles from his destination.
To convert a fraction to a decimal, divide the numerator by the denominator (divide the top by the bottom)
