Asp.net Checkbox not setting bool value

First of all, thank you for your help. I'm pretty new.

This should be super simple but I've spent hours trying to figure this out. I have a form in my view. The form is populating everything correctly - except for the checkbox. I've researched and researched and tried a lot of different suggestions online. No matter what I try, the form sets the same value for checked and unchecked.

View:

        <div class="checkbox">
            <label><input id="lunch45" type="checkbox" value="true">45 minute lunch</label>
        </div>

Jquery:

<script>
    $(document).ready(function () {
        $("#Lunchsubmit-form").click(function () {
            var model = {};
            model.EmployeeID = Number($("#lunchemployeeId").val());
            model.LunchTime = Date($('#lunchtimeId').val());
            model.PositionID = Number($("#lunchposition").val());
            model.LongerLunch = Boolean($('#lunch45').val());
            console.log("model", model);
            $.ajax({
                type: "HttpPost",
                url: "/Home/CreateLunch",
                dataType: 'json',
                data: JSON.stringify(model),
                contentType: "application/json; charset=utf-8",
                success: function (data) {
                    if (data.success)
                        window.location.href = "/Home/Index";
                    else
                        alert("Error: Lunch not submitted");
                },
                error: function () {
                    alert("Error: Lunch not submitted");
                }
            });
        });



    });
</script>

Model:

public class Lunch
{
    public int LunchID { get; set; }
    public int EmployeeID { get; set; }
    public DateTime LunchTime { get; set; }
    public int? PositionID { get; set; }
    public bool LongerLunch { get; set; }

    public virtual Employee Employee { get; set; }
    public virtual Position Position { get; set; }
}

Thanks again. I know how simple this should be but nothing's working.